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Finding the Fourth Proportional to 546.32, 815.28 and 487.93

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Solution

The fourth proportional to 546.32, 815.28 and 487.93 is: 728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 815.28 = 487.93 : x
  2. Step 2: Convert to fraction form
    546.32/815.28 = 487.93/x
  3. Step 3: Cross multiply
    546.32x = 815.28 × 487.93
  4. Step 4: Simplify right side
    546.32x = 397,800.59
  5. Step 5: Solve for x
    x = 397,800.59/546.32
  6. Step 6: Final answer
    x = 728.15

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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.