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Finding the Fourth Proportional to 981.97, 1,353.68 and 701.71

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Solution

The fourth proportional to 981.97, 1,353.68 and 701.71 is: 967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.97 : 1,353.68 = 701.71 : x
  2. Step 2: Convert to fraction form
    981.97/1,353.68 = 701.71/x
  3. Step 3: Cross multiply
    981.97x = 1,353.68 × 701.71
  4. Step 4: Simplify right side
    981.97x = 949,890.79
  5. Step 5: Solve for x
    x = 949,890.79/981.97
  6. Step 6: Final answer
    x = 967.33

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1.5x scale

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.