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Finding the Fourth Proportional to 981.81, 1,471.34 and 738.18

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Solution

The fourth proportional to 981.81, 1,471.34 and 738.18 is: 1,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.81 : 1,471.34 = 738.18 : x
  2. Step 2: Convert to fraction form
    981.81/1,471.34 = 738.18/x
  3. Step 3: Cross multiply
    981.81x = 1,471.34 × 738.18
  4. Step 4: Simplify right side
    981.81x = 1,086,102.71
  5. Step 5: Solve for x
    x = 1,086,102.71/981.81
  6. Step 6: Final answer
    x = 1,106.23

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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.