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Finding the Fourth Proportional to 981.38, 1,350.83 and 841.37

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Solution

The fourth proportional to 981.38, 1,350.83 and 841.37 is: 1,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.38 : 1,350.83 = 841.37 : x
  2. Step 2: Convert to fraction form
    981.38/1,350.83 = 841.37/x
  3. Step 3: Cross multiply
    981.38x = 1,350.83 × 841.37
  4. Step 4: Simplify right side
    981.38x = 1,136,543.19
  5. Step 5: Solve for x
    x = 1,136,543.19/981.38
  6. Step 6: Final answer
    x = 1,158.10

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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.