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Finding the Fourth Proportional to 981.70, 1,353.42 and 841.21

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Solution

The fourth proportional to 981.70, 1,353.42 and 841.21 is: 1,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.70 : 1,353.42 = 841.21 : x
  2. Step 2: Convert to fraction form
    981.70/1,353.42 = 841.21/x
  3. Step 3: Cross multiply
    981.70x = 1,353.42 × 841.21
  4. Step 4: Simplify right side
    981.70x = 1,138,507.05
  5. Step 5: Solve for x
    x = 1,138,507.05/981.70
  6. Step 6: Final answer
    x = 1,159.73

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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.