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Finding the Fourth Proportional to 542.70, 749.25 and 411.48

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Solution

The fourth proportional to 542.70, 749.25 and 411.48 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 749.25 = 411.48 : x
  2. Step 2: Convert to fraction form
    542.70/749.25 = 411.48/x
  3. Step 3: Cross multiply
    542.70x = 749.25 × 411.48
  4. Step 4: Simplify right side
    542.70x = 308,301.39
  5. Step 5: Solve for x
    x = 308,301.39/542.70
  6. Step 6: Final answer
    x = 568.09

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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.