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Finding the Fourth Proportional to 542.40, 813.12 and 489.92

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Solution

The fourth proportional to 542.40, 813.12 and 489.92 is: 734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 813.12 = 489.92 : x
  2. Step 2: Convert to fraction form
    542.40/813.12 = 489.92/x
  3. Step 3: Cross multiply
    542.40x = 813.12 × 489.92
  4. Step 4: Simplify right side
    542.40x = 398,363.75
  5. Step 5: Solve for x
    x = 398,363.75/542.40
  6. Step 6: Final answer
    x = 734.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.