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Finding the Fourth Proportional to 984.34, 1,358.33 and 542.15

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Solution

The fourth proportional to 984.34, 1,358.33 and 542.15 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.34 : 1,358.33 = 542.15 : x
  2. Step 2: Convert to fraction form
    984.34/1,358.33 = 542.15/x
  3. Step 3: Cross multiply
    984.34x = 1,358.33 × 542.15
  4. Step 4: Simplify right side
    984.34x = 736,423.36
  5. Step 5: Solve for x
    x = 736,423.36/984.34
  6. Step 6: Final answer
    x = 748.14

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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.