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Finding the Fourth Proportional to 974.64, 1,344.30 and 601.49

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Solution

The fourth proportional to 974.64, 1,344.30 and 601.49 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.64 : 1,344.30 = 601.49 : x
  2. Step 2: Convert to fraction form
    974.64/1,344.30 = 601.49/x
  3. Step 3: Cross multiply
    974.64x = 1,344.30 × 601.49
  4. Step 4: Simplify right side
    974.64x = 808,583.01
  5. Step 5: Solve for x
    x = 808,583.01/974.64
  6. Step 6: Final answer
    x = 829.62

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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.