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Finding the Fourth Proportional to 881.17, 1,216.13 and 557.81

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Solution

The fourth proportional to 881.17, 1,216.13 and 557.81 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.17 : 1,216.13 = 557.81 : x
  2. Step 2: Convert to fraction form
    881.17/1,216.13 = 557.81/x
  3. Step 3: Cross multiply
    881.17x = 1,216.13 × 557.81
  4. Step 4: Simplify right side
    881.17x = 678,369.48
  5. Step 5: Solve for x
    x = 678,369.48/881.17
  6. Step 6: Final answer
    x = 769.85

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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.