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Finding the Fourth Proportional to 878.13, 1,317.39 and 553.14

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Solution

The fourth proportional to 878.13, 1,317.39 and 553.14 is: 829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.13 : 1,317.39 = 553.14 : x
  2. Step 2: Convert to fraction form
    878.13/1,317.39 = 553.14/x
  3. Step 3: Cross multiply
    878.13x = 1,317.39 × 553.14
  4. Step 4: Simplify right side
    878.13x = 728,701.10
  5. Step 5: Solve for x
    x = 728,701.10/878.13
  6. Step 6: Final answer
    x = 829.83

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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.