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Finding the Fourth Proportional to 529.97, 730.55 and 382.55

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Solution

The fourth proportional to 529.97, 730.55 and 382.55 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.97 : 730.55 = 382.55 : x
  2. Step 2: Convert to fraction form
    529.97/730.55 = 382.55/x
  3. Step 3: Cross multiply
    529.97x = 730.55 × 382.55
  4. Step 4: Simplify right side
    529.97x = 279,469.21
  5. Step 5: Solve for x
    x = 279,469.21/529.97
  6. Step 6: Final answer
    x = 527.34

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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.