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Finding the Fourth Proportional to 518.47, 781.26 and 429.17

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Solution

The fourth proportional to 518.47, 781.26 and 429.17 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.47 : 781.26 = 429.17 : x
  2. Step 2: Convert to fraction form
    518.47/781.26 = 429.17/x
  3. Step 3: Cross multiply
    518.47x = 781.26 × 429.17
  4. Step 4: Simplify right side
    518.47x = 335,293.35
  5. Step 5: Solve for x
    x = 335,293.35/518.47
  6. Step 6: Final answer
    x = 646.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.