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Finding the Fourth Proportional to 759.23, 1,138.03 and 542.15

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Solution

The fourth proportional to 759.23, 1,138.03 and 542.15 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.23 : 1,138.03 = 542.15 : x
  2. Step 2: Convert to fraction form
    759.23/1,138.03 = 542.15/x
  3. Step 3: Cross multiply
    759.23x = 1,138.03 × 542.15
  4. Step 4: Simplify right side
    759.23x = 616,982.96
  5. Step 5: Solve for x
    x = 616,982.96/759.23
  6. Step 6: Final answer
    x = 812.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.