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Finding the Fourth Proportional to 527.18, 728.22 and 458.15

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Solution

The fourth proportional to 527.18, 728.22 and 458.15 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 728.22 = 458.15 : x
  2. Step 2: Convert to fraction form
    527.18/728.22 = 458.15/x
  3. Step 3: Cross multiply
    527.18x = 728.22 × 458.15
  4. Step 4: Simplify right side
    527.18x = 333,630.35
  5. Step 5: Solve for x
    x = 333,630.35/527.18
  6. Step 6: Final answer
    x = 632.86

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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.