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Finding the Fourth Proportional to 981.56, 1,468.83 and 853.08

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Solution

The fourth proportional to 981.56, 1,468.83 and 853.08 is: 1,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.56 : 1,468.83 = 853.08 : x
  2. Step 2: Convert to fraction form
    981.56/1,468.83 = 853.08/x
  3. Step 3: Cross multiply
    981.56x = 1,468.83 × 853.08
  4. Step 4: Simplify right side
    981.56x = 1,253,022.15
  5. Step 5: Solve for x
    x = 1,253,022.15/981.56
  6. Step 6: Final answer
    x = 1,276.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.