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Finding the Fourth Proportional to 974.62, 1,344.36 and 679.78

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Solution

The fourth proportional to 974.62, 1,344.36 and 679.78 is: 937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.62 : 1,344.36 = 679.78 : x
  2. Step 2: Convert to fraction form
    974.62/1,344.36 = 679.78/x
  3. Step 3: Cross multiply
    974.62x = 1,344.36 × 679.78
  4. Step 4: Simplify right side
    974.62x = 913,869.04
  5. Step 5: Solve for x
    x = 913,869.04/974.62
  6. Step 6: Final answer
    x = 937.67

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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.