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Finding the Fourth Proportional to 891.91, 1,345.71 and 861.23

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Solution

The fourth proportional to 891.91, 1,345.71 and 861.23 is: 1,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.91 : 1,345.71 = 861.23 : x
  2. Step 2: Convert to fraction form
    891.91/1,345.71 = 861.23/x
  3. Step 3: Cross multiply
    891.91x = 1,345.71 × 861.23
  4. Step 4: Simplify right side
    891.91x = 1,158,972.42
  5. Step 5: Solve for x
    x = 1,158,972.42/891.91
  6. Step 6: Final answer
    x = 1,299.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.