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Finding the Fourth Proportional to 912.22, 1,359.27 and 868.14

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Solution

The fourth proportional to 912.22, 1,359.27 and 868.14 is: 1,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.22 : 1,359.27 = 868.14 : x
  2. Step 2: Convert to fraction form
    912.22/1,359.27 = 868.14/x
  3. Step 3: Cross multiply
    912.22x = 1,359.27 × 868.14
  4. Step 4: Simplify right side
    912.22x = 1,180,036.66
  5. Step 5: Solve for x
    x = 1,180,036.66/912.22
  6. Step 6: Final answer
    x = 1,293.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.