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Finding the Fourth Proportional to 865.86, 1,195.09 and 534.53

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Solution

The fourth proportional to 865.86, 1,195.09 and 534.53 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.86 : 1,195.09 = 534.53 : x
  2. Step 2: Convert to fraction form
    865.86/1,195.09 = 534.53/x
  3. Step 3: Cross multiply
    865.86x = 1,195.09 × 534.53
  4. Step 4: Simplify right side
    865.86x = 638,813.11
  5. Step 5: Solve for x
    x = 638,813.11/865.86
  6. Step 6: Final answer
    x = 737.78

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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.