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Finding the Fourth Proportional to 878.38, 1,314.83 and 647.53

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Solution

The fourth proportional to 878.38, 1,314.83 and 647.53 is: 969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.38 : 1,314.83 = 647.53 : x
  2. Step 2: Convert to fraction form
    878.38/1,314.83 = 647.53/x
  3. Step 3: Cross multiply
    878.38x = 1,314.83 × 647.53
  4. Step 4: Simplify right side
    878.38x = 851,390.20
  5. Step 5: Solve for x
    x = 851,390.20/878.38
  6. Step 6: Final answer
    x = 969.28

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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.