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Finding the Fourth Proportional to 981.82, 1,473.36 and 737.62

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Solution

The fourth proportional to 981.82, 1,473.36 and 737.62 is: 1,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.82 : 1,473.36 = 737.62 : x
  2. Step 2: Convert to fraction form
    981.82/1,473.36 = 737.62/x
  3. Step 3: Cross multiply
    981.82x = 1,473.36 × 737.62
  4. Step 4: Simplify right side
    981.82x = 1,086,779.80
  5. Step 5: Solve for x
    x = 1,086,779.80/981.82
  6. Step 6: Final answer
    x = 1,106.90

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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.