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Finding the Fourth Proportional to 878.66, 1,317.30 and 330.78

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Solution

The fourth proportional to 878.66, 1,317.30 and 330.78 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.66 : 1,317.30 = 330.78 : x
  2. Step 2: Convert to fraction form
    878.66/1,317.30 = 330.78/x
  3. Step 3: Cross multiply
    878.66x = 1,317.30 × 330.78
  4. Step 4: Simplify right side
    878.66x = 435,736.49
  5. Step 5: Solve for x
    x = 435,736.49/878.66
  6. Step 6: Final answer
    x = 495.91

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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.