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Finding the Fourth Proportional to 981.89, 1,471.46 and 738.13

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Solution

The fourth proportional to 981.89, 1,471.46 and 738.13 is: 1,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.89 : 1,471.46 = 738.13 : x
  2. Step 2: Convert to fraction form
    981.89/1,471.46 = 738.13/x
  3. Step 3: Cross multiply
    981.89x = 1,471.46 × 738.13
  4. Step 4: Simplify right side
    981.89x = 1,086,128.77
  5. Step 5: Solve for x
    x = 1,086,128.77/981.89
  6. Step 6: Final answer
    x = 1,106.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.