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Finding the Fourth Proportional to 542.68, 749 and 426.45

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Solution

The fourth proportional to 542.68, 749 and 426.45 is: 588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.68 : 749 = 426.45 : x
  2. Step 2: Convert to fraction form
    542.68/749 = 426.45/x
  3. Step 3: Cross multiply
    542.68x = 749 × 426.45
  4. Step 4: Simplify right side
    542.68x = 319,411.05
  5. Step 5: Solve for x
    x = 319,411.05/542.68
  6. Step 6: Final answer
    x = 588.58

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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.