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Finding the Fourth Proportional to 545.88, 758.49 and 538.92

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Solution

The fourth proportional to 545.88, 758.49 and 538.92 is: 748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.88 : 758.49 = 538.92 : x
  2. Step 2: Convert to fraction form
    545.88/758.49 = 538.92/x
  3. Step 3: Cross multiply
    545.88x = 758.49 × 538.92
  4. Step 4: Simplify right side
    545.88x = 408,765.43
  5. Step 5: Solve for x
    x = 408,765.43/545.88
  6. Step 6: Final answer
    x = 748.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.