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Finding the Fourth Proportional to 1,393.79, 1,923.36 and 772.75

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Solution

The fourth proportional to 1,393.79, 1,923.36 and 772.75 is: 1,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.79 : 1,923.36 = 772.75 : x
  2. Step 2: Convert to fraction form
    1,393.79/1,923.36 = 772.75/x
  3. Step 3: Cross multiply
    1,393.79x = 1,923.36 × 772.75
  4. Step 4: Simplify right side
    1,393.79x = 1,486,272.58
  5. Step 5: Solve for x
    x = 1,486,272.58/1,393.79
  6. Step 6: Final answer
    x = 1,066.35

Related Problems

Find fourth proportional to 696.90, 961.68 and 386.38
Half scale
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Double scale
Find fourth proportional to 1,394.79, 1,924.73 and 773.75
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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.