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Finding the Fourth Proportional to 545.97, 753.25 and 447.69

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Solution

The fourth proportional to 545.97, 753.25 and 447.69 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.97 : 753.25 = 447.69 : x
  2. Step 2: Convert to fraction form
    545.97/753.25 = 447.69/x
  3. Step 3: Cross multiply
    545.97x = 753.25 × 447.69
  4. Step 4: Simplify right side
    545.97x = 337,222.49
  5. Step 5: Solve for x
    x = 337,222.49/545.97
  6. Step 6: Final answer
    x = 617.66

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