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Finding the Fourth Proportional to 878.66, 1,317.39 and 330.74

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Solution

The fourth proportional to 878.66, 1,317.39 and 330.74 is: 495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.66 : 1,317.39 = 330.74 : x
  2. Step 2: Convert to fraction form
    878.66/1,317.39 = 330.74/x
  3. Step 3: Cross multiply
    878.66x = 1,317.39 × 330.74
  4. Step 4: Simplify right side
    878.66x = 435,713.57
  5. Step 5: Solve for x
    x = 435,713.57/878.66
  6. Step 6: Final answer
    x = 495.88

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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.