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Finding the Fourth Proportional to 926.64, 1,277.55 and 769.41

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Solution

The fourth proportional to 926.64, 1,277.55 and 769.41 is: 1,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,277.55 = 769.41 : x
  2. Step 2: Convert to fraction form
    926.64/1,277.55 = 769.41/x
  3. Step 3: Cross multiply
    926.64x = 1,277.55 × 769.41
  4. Step 4: Simplify right side
    926.64x = 982,959.75
  5. Step 5: Solve for x
    x = 982,959.75/926.64
  6. Step 6: Final answer
    x = 1,060.78

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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.