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Finding the Fourth Proportional to 984.20, 1,358.08 and 542.13

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Solution

The fourth proportional to 984.20, 1,358.08 and 542.13 is: 748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.20 : 1,358.08 = 542.13 : x
  2. Step 2: Convert to fraction form
    984.20/1,358.08 = 542.13/x
  3. Step 3: Cross multiply
    984.20x = 1,358.08 × 542.13
  4. Step 4: Simplify right side
    984.20x = 736,261.68
  5. Step 5: Solve for x
    x = 736,261.68/984.20
  6. Step 6: Final answer
    x = 748.08

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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.