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Finding the Fourth Proportional to 981.77, 1,354.39 and 869.85

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Solution

The fourth proportional to 981.77, 1,354.39 and 869.85 is: 1,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.77 : 1,354.39 = 869.85 : x
  2. Step 2: Convert to fraction form
    981.77/1,354.39 = 869.85/x
  3. Step 3: Cross multiply
    981.77x = 1,354.39 × 869.85
  4. Step 4: Simplify right side
    981.77x = 1,178,125.80
  5. Step 5: Solve for x
    x = 1,178,125.80/981.77
  6. Step 6: Final answer
    x = 1,200.00

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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.