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Finding the Fourth Proportional to 542.98, 749.31 and 426.34

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Solution

The fourth proportional to 542.98, 749.31 and 426.34 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 749.31 = 426.34 : x
  2. Step 2: Convert to fraction form
    542.98/749.31 = 426.34/x
  3. Step 3: Cross multiply
    542.98x = 749.31 × 426.34
  4. Step 4: Simplify right side
    542.98x = 319,457.08
  5. Step 5: Solve for x
    x = 319,457.08/542.98
  6. Step 6: Final answer
    x = 588.35

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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.