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Finding the Fourth Proportional to 974.14, 1,344.50 and 679.23

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Solution

The fourth proportional to 974.14, 1,344.50 and 679.23 is: 937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,344.50 = 679.23 : x
  2. Step 2: Convert to fraction form
    974.14/1,344.50 = 679.23/x
  3. Step 3: Cross multiply
    974.14x = 1,344.50 × 679.23
  4. Step 4: Simplify right side
    974.14x = 913,221.34
  5. Step 5: Solve for x
    x = 913,221.34/974.14
  6. Step 6: Final answer
    x = 937.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.