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Finding the Fourth Proportional to 757.72, 1,137.19 and 392.61

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Solution

The fourth proportional to 757.72, 1,137.19 and 392.61 is: 589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.72 : 1,137.19 = 392.61 : x
  2. Step 2: Convert to fraction form
    757.72/1,137.19 = 392.61/x
  3. Step 3: Cross multiply
    757.72x = 1,137.19 × 392.61
  4. Step 4: Simplify right side
    757.72x = 446,472.17
  5. Step 5: Solve for x
    x = 446,472.17/757.72
  6. Step 6: Final answer
    x = 589.23

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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.