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Finding the Fourth Proportional to 529.10, 728.34 and 458.18

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Solution

The fourth proportional to 529.10, 728.34 and 458.18 is: 630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 728.34 = 458.18 : x
  2. Step 2: Convert to fraction form
    529.10/728.34 = 458.18/x
  3. Step 3: Cross multiply
    529.10x = 728.34 × 458.18
  4. Step 4: Simplify right side
    529.10x = 333,708.19
  5. Step 5: Solve for x
    x = 333,708.19/529.10
  6. Step 6: Final answer
    x = 630.71

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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.