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Finding the Fourth Proportional to 545.67, 755.00 and 475.87

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Solution

The fourth proportional to 545.67, 755.00 and 475.87 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.67 : 755.00 = 475.87 : x
  2. Step 2: Convert to fraction form
    545.67/755.00 = 475.87/x
  3. Step 3: Cross multiply
    545.67x = 755.00 × 475.87
  4. Step 4: Simplify right side
    545.67x = 359,283.98
  5. Step 5: Solve for x
    x = 359,283.98/545.67
  6. Step 6: Final answer
    x = 658.43

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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.