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Finding the Fourth Proportional to 938.77, 1,295.52 and 519.15

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Solution

The fourth proportional to 938.77, 1,295.52 and 519.15 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.77 : 1,295.52 = 519.15 : x
  2. Step 2: Convert to fraction form
    938.77/1,295.52 = 519.15/x
  3. Step 3: Cross multiply
    938.77x = 1,295.52 × 519.15
  4. Step 4: Simplify right side
    938.77x = 672,569.21
  5. Step 5: Solve for x
    x = 672,569.21/938.77
  6. Step 6: Final answer
    x = 716.44

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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.