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Finding the Fourth Proportional to 778.81, 1,074.45 and 542.70

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Solution

The fourth proportional to 778.81, 1,074.45 and 542.70 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.81 : 1,074.45 = 542.70 : x
  2. Step 2: Convert to fraction form
    778.81/1,074.45 = 542.70/x
  3. Step 3: Cross multiply
    778.81x = 1,074.45 × 542.70
  4. Step 4: Simplify right side
    778.81x = 583,104.02
  5. Step 5: Solve for x
    x = 583,104.02/778.81
  6. Step 6: Final answer
    x = 748.71

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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.