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Finding the Fourth Proportional to 814.04, 1,219.17 and 807.97

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Solution

The fourth proportional to 814.04, 1,219.17 and 807.97 is: 1,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.04 : 1,219.17 = 807.97 : x
  2. Step 2: Convert to fraction form
    814.04/1,219.17 = 807.97/x
  3. Step 3: Cross multiply
    814.04x = 1,219.17 × 807.97
  4. Step 4: Simplify right side
    814.04x = 985,052.78
  5. Step 5: Solve for x
    x = 985,052.78/814.04
  6. Step 6: Final answer
    x = 1,210.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.