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Finding the Fourth Proportional to 865.78, 1,193.95 and 566.58

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Solution

The fourth proportional to 865.78, 1,193.95 and 566.58 is: 781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.78 : 1,193.95 = 566.58 : x
  2. Step 2: Convert to fraction form
    865.78/1,193.95 = 566.58/x
  3. Step 3: Cross multiply
    865.78x = 1,193.95 × 566.58
  4. Step 4: Simplify right side
    865.78x = 676,468.19
  5. Step 5: Solve for x
    x = 676,468.19/865.78
  6. Step 6: Final answer
    x = 781.34

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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.