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Finding the Fourth Proportional to 499.60, 753.14 and 466.15

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Solution

The fourth proportional to 499.60, 753.14 and 466.15 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.60 : 753.14 = 466.15 : x
  2. Step 2: Convert to fraction form
    499.60/753.14 = 466.15/x
  3. Step 3: Cross multiply
    499.60x = 753.14 × 466.15
  4. Step 4: Simplify right side
    499.60x = 351,076.91
  5. Step 5: Solve for x
    x = 351,076.91/499.60
  6. Step 6: Final answer
    x = 702.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.