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Finding the Fourth Proportional to 912.90, 1,251.58 and 896.49

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Solution

The fourth proportional to 912.90, 1,251.58 and 896.49 is: 1,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.90 : 1,251.58 = 896.49 : x
  2. Step 2: Convert to fraction form
    912.90/1,251.58 = 896.49/x
  3. Step 3: Cross multiply
    912.90x = 1,251.58 × 896.49
  4. Step 4: Simplify right side
    912.90x = 1,122,028.95
  5. Step 5: Solve for x
    x = 1,122,028.95/912.90
  6. Step 6: Final answer
    x = 1,229.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.