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Finding the Fourth Proportional to 529.72, 731.30 and 364.17

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Solution

The fourth proportional to 529.72, 731.30 and 364.17 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 731.30 = 364.17 : x
  2. Step 2: Convert to fraction form
    529.72/731.30 = 364.17/x
  3. Step 3: Cross multiply
    529.72x = 731.30 × 364.17
  4. Step 4: Simplify right side
    529.72x = 266,317.52
  5. Step 5: Solve for x
    x = 266,317.52/529.72
  6. Step 6: Final answer
    x = 502.75

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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.