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Finding the Fourth Proportional to 542.84, 749.13 and 424.96

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Solution

The fourth proportional to 542.84, 749.13 and 424.96 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 749.13 = 424.96 : x
  2. Step 2: Convert to fraction form
    542.84/749.13 = 424.96/x
  3. Step 3: Cross multiply
    542.84x = 749.13 × 424.96
  4. Step 4: Simplify right side
    542.84x = 318,350.28
  5. Step 5: Solve for x
    x = 318,350.28/542.84
  6. Step 6: Final answer
    x = 586.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.