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Finding the Fourth Proportional to 686.53, 947.17 and 529.21

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Solution

The fourth proportional to 686.53, 947.17 and 529.21 is: 730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 947.17 = 529.21 : x
  2. Step 2: Convert to fraction form
    686.53/947.17 = 529.21/x
  3. Step 3: Cross multiply
    686.53x = 947.17 × 529.21
  4. Step 4: Simplify right side
    686.53x = 501,249.19
  5. Step 5: Solve for x
    x = 501,249.19/686.53
  6. Step 6: Final answer
    x = 730.12

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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.