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Finding the Fourth Proportional to 546.17, 815.06 and 487.78

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Solution

The fourth proportional to 546.17, 815.06 and 487.78 is: 727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.17 : 815.06 = 487.78 : x
  2. Step 2: Convert to fraction form
    546.17/815.06 = 487.78/x
  3. Step 3: Cross multiply
    546.17x = 815.06 × 487.78
  4. Step 4: Simplify right side
    546.17x = 397,568.44
  5. Step 5: Solve for x
    x = 397,568.44/546.17
  6. Step 6: Final answer
    x = 727.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.