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Finding the Fourth Proportional to 974.42, 1,456.37 and 896.58

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Solution

The fourth proportional to 974.42, 1,456.37 and 896.58 is: 1,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.42 : 1,456.37 = 896.58 : x
  2. Step 2: Convert to fraction form
    974.42/1,456.37 = 896.58/x
  3. Step 3: Cross multiply
    974.42x = 1,456.37 × 896.58
  4. Step 4: Simplify right side
    974.42x = 1,305,747.73
  5. Step 5: Solve for x
    x = 1,305,747.73/974.42
  6. Step 6: Final answer
    x = 1,340.03

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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.