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Finding the Fourth Proportional to 542.12, 748.56 and 436.87

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Solution

The fourth proportional to 542.12, 748.56 and 436.87 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 748.56 = 436.87 : x
  2. Step 2: Convert to fraction form
    542.12/748.56 = 436.87/x
  3. Step 3: Cross multiply
    542.12x = 748.56 × 436.87
  4. Step 4: Simplify right side
    542.12x = 327,023.41
  5. Step 5: Solve for x
    x = 327,023.41/542.12
  6. Step 6: Final answer
    x = 603.23

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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.