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Finding the Fourth Proportional to 974.39, 1,344.65 and 532.31

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Solution

The fourth proportional to 974.39, 1,344.65 and 532.31 is: 734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.39 : 1,344.65 = 532.31 : x
  2. Step 2: Convert to fraction form
    974.39/1,344.65 = 532.31/x
  3. Step 3: Cross multiply
    974.39x = 1,344.65 × 532.31
  4. Step 4: Simplify right side
    974.39x = 715,767.98
  5. Step 5: Solve for x
    x = 715,767.98/974.39
  6. Step 6: Final answer
    x = 734.58

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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.