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Finding the Fourth Proportional to 546.60, 815.05 and 481.84

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Solution

The fourth proportional to 546.60, 815.05 and 481.84 is: 718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 815.05 = 481.84 : x
  2. Step 2: Convert to fraction form
    546.60/815.05 = 481.84/x
  3. Step 3: Cross multiply
    546.60x = 815.05 × 481.84
  4. Step 4: Simplify right side
    546.60x = 392,723.69
  5. Step 5: Solve for x
    x = 392,723.69/546.60
  6. Step 6: Final answer
    x = 718.48

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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.