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Finding the Fourth Proportional to 757.52, 1,138.34 and 392.59

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Solution

The fourth proportional to 757.52, 1,138.34 and 392.59 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.52 : 1,138.34 = 392.59 : x
  2. Step 2: Convert to fraction form
    757.52/1,138.34 = 392.59/x
  3. Step 3: Cross multiply
    757.52x = 1,138.34 × 392.59
  4. Step 4: Simplify right side
    757.52x = 446,900.90
  5. Step 5: Solve for x
    x = 446,900.90/757.52
  6. Step 6: Final answer
    x = 589.95

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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.