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Finding the Fourth Proportional to 981.60, 1,350.41 and 954.27

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Solution

The fourth proportional to 981.60, 1,350.41 and 954.27 is: 1,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.60 : 1,350.41 = 954.27 : x
  2. Step 2: Convert to fraction form
    981.60/1,350.41 = 954.27/x
  3. Step 3: Cross multiply
    981.60x = 1,350.41 × 954.27
  4. Step 4: Simplify right side
    981.60x = 1,288,650.98
  5. Step 5: Solve for x
    x = 1,288,650.98/981.60
  6. Step 6: Final answer
    x = 1,312.81

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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.