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Finding the Fourth Proportional to 981.32, 1,345.43 and 963.77

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Solution

The fourth proportional to 981.32, 1,345.43 and 963.77 is: 1,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.32 : 1,345.43 = 963.77 : x
  2. Step 2: Convert to fraction form
    981.32/1,345.43 = 963.77/x
  3. Step 3: Cross multiply
    981.32x = 1,345.43 × 963.77
  4. Step 4: Simplify right side
    981.32x = 1,296,680.75
  5. Step 5: Solve for x
    x = 1,296,680.75/981.32
  6. Step 6: Final answer
    x = 1,321.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.