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Finding the Fourth Proportional to 546.36, 815.34 and 487.97

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Solution

The fourth proportional to 546.36, 815.34 and 487.97 is: 728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 815.34 = 487.97 : x
  2. Step 2: Convert to fraction form
    546.36/815.34 = 487.97/x
  3. Step 3: Cross multiply
    546.36x = 815.34 × 487.97
  4. Step 4: Simplify right side
    546.36x = 397,860.24
  5. Step 5: Solve for x
    x = 397,860.24/546.36
  6. Step 6: Final answer
    x = 728.20

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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.