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Finding the Fourth Proportional to 909.73, 1,254.15 and 769.28

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Solution

The fourth proportional to 909.73, 1,254.15 and 769.28 is: 1,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.73 : 1,254.15 = 769.28 : x
  2. Step 2: Convert to fraction form
    909.73/1,254.15 = 769.28/x
  3. Step 3: Cross multiply
    909.73x = 1,254.15 × 769.28
  4. Step 4: Simplify right side
    909.73x = 964,794.92
  5. Step 5: Solve for x
    x = 964,794.92/909.73
  6. Step 6: Final answer
    x = 1,060.53

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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.