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Finding the Fourth Proportional to 878.52, 1,317.50 and 821

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Solution

The fourth proportional to 878.52, 1,317.50 and 821 is: 1,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.52 : 1,317.50 = 821 : x
  2. Step 2: Convert to fraction form
    878.52/1,317.50 = 821/x
  3. Step 3: Cross multiply
    878.52x = 1,317.50 × 821
  4. Step 4: Simplify right side
    878.52x = 1,081,667.50
  5. Step 5: Solve for x
    x = 1,081,667.50/878.52
  6. Step 6: Final answer
    x = 1,231.24

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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.