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Finding the Fourth Proportional to 512.13, 709.71 and 502.41

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Solution

The fourth proportional to 512.13, 709.71 and 502.41 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.13 : 709.71 = 502.41 : x
  2. Step 2: Convert to fraction form
    512.13/709.71 = 502.41/x
  3. Step 3: Cross multiply
    512.13x = 709.71 × 502.41
  4. Step 4: Simplify right side
    512.13x = 356,565.40
  5. Step 5: Solve for x
    x = 356,565.40/512.13
  6. Step 6: Final answer
    x = 696.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.