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Finding the Fourth Proportional to 529.43, 728.84 and 463.82

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Solution

The fourth proportional to 529.43, 728.84 and 463.82 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.43 : 728.84 = 463.82 : x
  2. Step 2: Convert to fraction form
    529.43/728.84 = 463.82/x
  3. Step 3: Cross multiply
    529.43x = 728.84 × 463.82
  4. Step 4: Simplify right side
    529.43x = 338,044.61
  5. Step 5: Solve for x
    x = 338,044.61/529.43
  6. Step 6: Final answer
    x = 638.51

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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.