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Finding the Fourth Proportional to 1,344.75, 1,855.84 and 895.84

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Solution

The fourth proportional to 1,344.75, 1,855.84 and 895.84 is: 1,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.75 : 1,855.84 = 895.84 : x
  2. Step 2: Convert to fraction form
    1,344.75/1,855.84 = 895.84/x
  3. Step 3: Cross multiply
    1,344.75x = 1,855.84 × 895.84
  4. Step 4: Simplify right side
    1,344.75x = 1,662,535.87
  5. Step 5: Solve for x
    x = 1,662,535.87/1,344.75
  6. Step 6: Final answer
    x = 1,236.31

Related Problems

Find fourth proportional to 672.38, 927.92 and 447.92
Half scale
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Double scale
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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.