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Finding the Fourth Proportional to 1,393.24, 1,923.95 and 896.75

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Solution

The fourth proportional to 1,393.24, 1,923.95 and 896.75 is: 1,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.24 : 1,923.95 = 896.75 : x
  2. Step 2: Convert to fraction form
    1,393.24/1,923.95 = 896.75/x
  3. Step 3: Cross multiply
    1,393.24x = 1,923.95 × 896.75
  4. Step 4: Simplify right side
    1,393.24x = 1,725,302.16
  5. Step 5: Solve for x
    x = 1,725,302.16/1,393.24
  6. Step 6: Final answer
    x = 1,238.34

Related Problems

Find fourth proportional to 696.62, 961.98 and 448.38
Half scale
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Double scale
Find fourth proportional to 1,394.24, 1,925.33 and 897.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.