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Finding the Fourth Proportional to 624.11, 935.24 and 392.27

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Solution

The fourth proportional to 624.11, 935.24 and 392.27 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.11 : 935.24 = 392.27 : x
  2. Step 2: Convert to fraction form
    624.11/935.24 = 392.27/x
  3. Step 3: Cross multiply
    624.11x = 935.24 × 392.27
  4. Step 4: Simplify right side
    624.11x = 366,859.96
  5. Step 5: Solve for x
    x = 366,859.96/624.11
  6. Step 6: Final answer
    x = 587.82

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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.