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Finding the Fourth Proportional to 624.89, 935.91 and 521.61

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Solution

The fourth proportional to 624.89, 935.91 and 521.61 is: 781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 935.91 = 521.61 : x
  2. Step 2: Convert to fraction form
    624.89/935.91 = 521.61/x
  3. Step 3: Cross multiply
    624.89x = 935.91 × 521.61
  4. Step 4: Simplify right side
    624.89x = 488,180.02
  5. Step 5: Solve for x
    x = 488,180.02/624.89
  6. Step 6: Final answer
    x = 781.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.