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Finding the Fourth Proportional to 794.92, 1,097.89 and 542.42

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Solution

The fourth proportional to 794.92, 1,097.89 and 542.42 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,097.89 = 542.42 : x
  2. Step 2: Convert to fraction form
    794.92/1,097.89 = 542.42/x
  3. Step 3: Cross multiply
    794.92x = 1,097.89 × 542.42
  4. Step 4: Simplify right side
    794.92x = 595,517.49
  5. Step 5: Solve for x
    x = 595,517.49/794.92
  6. Step 6: Final answer
    x = 749.15

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1.5x scale

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.