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Finding the Fourth Proportional to 881.15, 1,215.81 and 565.92

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Solution

The fourth proportional to 881.15, 1,215.81 and 565.92 is: 780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.15 : 1,215.81 = 565.92 : x
  2. Step 2: Convert to fraction form
    881.15/1,215.81 = 565.92/x
  3. Step 3: Cross multiply
    881.15x = 1,215.81 × 565.92
  4. Step 4: Simplify right side
    881.15x = 688,051.20
  5. Step 5: Solve for x
    x = 688,051.20/881.15
  6. Step 6: Final answer
    x = 780.86

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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.