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Finding the Fourth Proportional to 545.25, 754.42 and 475.46

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Solution

The fourth proportional to 545.25, 754.42 and 475.46 is: 657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 754.42 = 475.46 : x
  2. Step 2: Convert to fraction form
    545.25/754.42 = 475.46/x
  3. Step 3: Cross multiply
    545.25x = 754.42 × 475.46
  4. Step 4: Simplify right side
    545.25x = 358,691.57
  5. Step 5: Solve for x
    x = 358,691.57/545.25
  6. Step 6: Final answer
    x = 657.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.