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Finding the Fourth Proportional to 891.95, 1,229.04 and 758.71

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Solution

The fourth proportional to 891.95, 1,229.04 and 758.71 is: 1,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.95 : 1,229.04 = 758.71 : x
  2. Step 2: Convert to fraction form
    891.95/1,229.04 = 758.71/x
  3. Step 3: Cross multiply
    891.95x = 1,229.04 × 758.71
  4. Step 4: Simplify right side
    891.95x = 932,484.94
  5. Step 5: Solve for x
    x = 932,484.94/891.95
  6. Step 6: Final answer
    x = 1,045.45

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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.