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Finding the Fourth Proportional to 881.14, 1,213.50 and 862.01

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Solution

The fourth proportional to 881.14, 1,213.50 and 862.01 is: 1,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.14 : 1,213.50 = 862.01 : x
  2. Step 2: Convert to fraction form
    881.14/1,213.50 = 862.01/x
  3. Step 3: Cross multiply
    881.14x = 1,213.50 × 862.01
  4. Step 4: Simplify right side
    881.14x = 1,046,046.30
  5. Step 5: Solve for x
    x = 1,046,046.30/881.14
  6. Step 6: Final answer
    x = 1,187.15

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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.