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Finding the Fourth Proportional to 867.67, 1,298.30 and 769.39

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Solution

The fourth proportional to 867.67, 1,298.30 and 769.39 is: 1,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.67 : 1,298.30 = 769.39 : x
  2. Step 2: Convert to fraction form
    867.67/1,298.30 = 769.39/x
  3. Step 3: Cross multiply
    867.67x = 1,298.30 × 769.39
  4. Step 4: Simplify right side
    867.67x = 998,888.70
  5. Step 5: Solve for x
    x = 998,888.70/867.67
  6. Step 6: Final answer
    x = 1,151.24

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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.