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Finding the Fourth Proportional to 881.23, 1,215.78 and 566.47

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Solution

The fourth proportional to 881.23, 1,215.78 and 566.47 is: 781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.23 : 1,215.78 = 566.47 : x
  2. Step 2: Convert to fraction form
    881.23/1,215.78 = 566.47/x
  3. Step 3: Cross multiply
    881.23x = 1,215.78 × 566.47
  4. Step 4: Simplify right side
    881.23x = 688,702.90
  5. Step 5: Solve for x
    x = 688,702.90/881.23
  6. Step 6: Final answer
    x = 781.52

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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.