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Finding the Fourth Proportional to 984.90, 1,359.17 and 542.80

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Solution

The fourth proportional to 984.90, 1,359.17 and 542.80 is: 749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.90 : 1,359.17 = 542.80 : x
  2. Step 2: Convert to fraction form
    984.90/1,359.17 = 542.80/x
  3. Step 3: Cross multiply
    984.90x = 1,359.17 × 542.80
  4. Step 4: Simplify right side
    984.90x = 737,757.48
  5. Step 5: Solve for x
    x = 737,757.48/984.90
  6. Step 6: Final answer
    x = 749.07

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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.