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Finding the Fourth Proportional to 529.53, 731.04 and 352.73

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Solution

The fourth proportional to 529.53, 731.04 and 352.73 is: 486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.53 : 731.04 = 352.73 : x
  2. Step 2: Convert to fraction form
    529.53/731.04 = 352.73/x
  3. Step 3: Cross multiply
    529.53x = 731.04 × 352.73
  4. Step 4: Simplify right side
    529.53x = 257,859.74
  5. Step 5: Solve for x
    x = 257,859.74/529.53
  6. Step 6: Final answer
    x = 486.96

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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.