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Finding the Fourth Proportional to 909.50, 1,254.29 and 769.97

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Solution

The fourth proportional to 909.50, 1,254.29 and 769.97 is: 1,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.50 : 1,254.29 = 769.97 : x
  2. Step 2: Convert to fraction form
    909.50/1,254.29 = 769.97/x
  3. Step 3: Cross multiply
    909.50x = 1,254.29 × 769.97
  4. Step 4: Simplify right side
    909.50x = 965,764.96
  5. Step 5: Solve for x
    x = 965,764.96/909.50
  6. Step 6: Final answer
    x = 1,061.87

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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.