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Finding the Fourth Proportional to 881.42, 1,215.96 and 566.78

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Solution

The fourth proportional to 881.42, 1,215.96 and 566.78 is: 781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,215.96 = 566.78 : x
  2. Step 2: Convert to fraction form
    881.42/1,215.96 = 566.78/x
  3. Step 3: Cross multiply
    881.42x = 1,215.96 × 566.78
  4. Step 4: Simplify right side
    881.42x = 689,181.81
  5. Step 5: Solve for x
    x = 689,181.81/881.42
  6. Step 6: Final answer
    x = 781.90

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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.