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Finding the Fourth Proportional to 866.13, 1,298.70 and 763.62

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Solution

The fourth proportional to 866.13, 1,298.70 and 763.62 is: 1,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.13 : 1,298.70 = 763.62 : x
  2. Step 2: Convert to fraction form
    866.13/1,298.70 = 763.62/x
  3. Step 3: Cross multiply
    866.13x = 1,298.70 × 763.62
  4. Step 4: Simplify right side
    866.13x = 991,713.29
  5. Step 5: Solve for x
    x = 991,713.29/866.13
  6. Step 6: Final answer
    x = 1,144.99

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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.