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Finding the Fourth Proportional to 981.46, 1,353.81 and 748.18

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Solution

The fourth proportional to 981.46, 1,353.81 and 748.18 is: 1,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.46 : 1,353.81 = 748.18 : x
  2. Step 2: Convert to fraction form
    981.46/1,353.81 = 748.18/x
  3. Step 3: Cross multiply
    981.46x = 1,353.81 × 748.18
  4. Step 4: Simplify right side
    981.46x = 1,012,893.57
  5. Step 5: Solve for x
    x = 1,012,893.57/981.46
  6. Step 6: Final answer
    x = 1,032.03

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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.