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Finding the Fourth Proportional to 974.89, 1,344.49 and 601.48

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Solution

The fourth proportional to 974.89, 1,344.49 and 601.48 is: 829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.89 : 1,344.49 = 601.48 : x
  2. Step 2: Convert to fraction form
    974.89/1,344.49 = 601.48/x
  3. Step 3: Cross multiply
    974.89x = 1,344.49 × 601.48
  4. Step 4: Simplify right side
    974.89x = 808,683.85
  5. Step 5: Solve for x
    x = 808,683.85/974.89
  6. Step 6: Final answer
    x = 829.51

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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.