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Finding the Fourth Proportional to 546.87, 753.98 and 447.18

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Solution

The fourth proportional to 546.87, 753.98 and 447.18 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 753.98 = 447.18 : x
  2. Step 2: Convert to fraction form
    546.87/753.98 = 447.18/x
  3. Step 3: Cross multiply
    546.87x = 753.98 × 447.18
  4. Step 4: Simplify right side
    546.87x = 337,164.78
  5. Step 5: Solve for x
    x = 337,164.78/546.87
  6. Step 6: Final answer
    x = 616.54

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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.