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Finding the Fourth Proportional to 974.58, 1,344.21 and 679.92

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Solution

The fourth proportional to 974.58, 1,344.21 and 679.92 is: 937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.58 : 1,344.21 = 679.92 : x
  2. Step 2: Convert to fraction form
    974.58/1,344.21 = 679.92/x
  3. Step 3: Cross multiply
    974.58x = 1,344.21 × 679.92
  4. Step 4: Simplify right side
    974.58x = 913,955.26
  5. Step 5: Solve for x
    x = 913,955.26/974.58
  6. Step 6: Final answer
    x = 937.79

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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.