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Finding the Fourth Proportional to 542.73, 749.58 and 396.03

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Solution

The fourth proportional to 542.73, 749.58 and 396.03 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.73 : 749.58 = 396.03 : x
  2. Step 2: Convert to fraction form
    542.73/749.58 = 396.03/x
  3. Step 3: Cross multiply
    542.73x = 749.58 × 396.03
  4. Step 4: Simplify right side
    542.73x = 296,856.17
  5. Step 5: Solve for x
    x = 296,856.17/542.73
  6. Step 6: Final answer
    x = 546.97

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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.