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Finding the Fourth Proportional to 624.32, 935.14 and 506.66

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Solution

The fourth proportional to 624.32, 935.14 and 506.66 is: 758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.32 : 935.14 = 506.66 : x
  2. Step 2: Convert to fraction form
    624.32/935.14 = 506.66/x
  3. Step 3: Cross multiply
    624.32x = 935.14 × 506.66
  4. Step 4: Simplify right side
    624.32x = 473,798.03
  5. Step 5: Solve for x
    x = 473,798.03/624.32
  6. Step 6: Final answer
    x = 758.90

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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.