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Finding the Fourth Proportional to 542.67, 748.38 and 407.54

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Solution

The fourth proportional to 542.67, 748.38 and 407.54 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.67 : 748.38 = 407.54 : x
  2. Step 2: Convert to fraction form
    542.67/748.38 = 407.54/x
  3. Step 3: Cross multiply
    542.67x = 748.38 × 407.54
  4. Step 4: Simplify right side
    542.67x = 304,998.18
  5. Step 5: Solve for x
    x = 304,998.18/542.67
  6. Step 6: Final answer
    x = 562.03

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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.