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Finding the Fourth Proportional to 624.48, 935.88 and 477.66

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Solution

The fourth proportional to 624.48, 935.88 and 477.66 is: 715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.48 : 935.88 = 477.66 : x
  2. Step 2: Convert to fraction form
    624.48/935.88 = 477.66/x
  3. Step 3: Cross multiply
    624.48x = 935.88 × 477.66
  4. Step 4: Simplify right side
    624.48x = 447,032.44
  5. Step 5: Solve for x
    x = 447,032.44/624.48
  6. Step 6: Final answer
    x = 715.85

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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.