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Finding the Fourth Proportional to 981.90, 1,473.39 and 657.90

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Solution

The fourth proportional to 981.90, 1,473.39 and 657.90 is: 987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.90 : 1,473.39 = 657.90 : x
  2. Step 2: Convert to fraction form
    981.90/1,473.39 = 657.90/x
  3. Step 3: Cross multiply
    981.90x = 1,473.39 × 657.90
  4. Step 4: Simplify right side
    981.90x = 969,343.28
  5. Step 5: Solve for x
    x = 969,343.28/981.90
  6. Step 6: Final answer
    x = 987.21

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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.