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Finding the Fourth Proportional to 865.90, 1,195.50 and 534.90

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Solution

The fourth proportional to 865.90, 1,195.50 and 534.90 is: 738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,195.50 = 534.90 : x
  2. Step 2: Convert to fraction form
    865.90/1,195.50 = 534.90/x
  3. Step 3: Cross multiply
    865.90x = 1,195.50 × 534.90
  4. Step 4: Simplify right side
    865.90x = 639,472.95
  5. Step 5: Solve for x
    x = 639,472.95/865.90
  6. Step 6: Final answer
    x = 738.51

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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.