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Finding the Fourth Proportional to 974.70, 1,468.20 and 888.58

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Solution

The fourth proportional to 974.70, 1,468.20 and 888.58 is: 1,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.70 : 1,468.20 = 888.58 : x
  2. Step 2: Convert to fraction form
    974.70/1,468.20 = 888.58/x
  3. Step 3: Cross multiply
    974.70x = 1,468.20 × 888.58
  4. Step 4: Simplify right side
    974.70x = 1,304,613.16
  5. Step 5: Solve for x
    x = 1,304,613.16/974.70
  6. Step 6: Final answer
    x = 1,338.48

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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.