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Finding the Fourth Proportional to 881.32, 1,319.64 and 819.40

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Solution

The fourth proportional to 881.32, 1,319.64 and 819.40 is: 1,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.32 : 1,319.64 = 819.40 : x
  2. Step 2: Convert to fraction form
    881.32/1,319.64 = 819.40/x
  3. Step 3: Cross multiply
    881.32x = 1,319.64 × 819.40
  4. Step 4: Simplify right side
    881.32x = 1,081,313.02
  5. Step 5: Solve for x
    x = 1,081,313.02/881.32
  6. Step 6: Final answer
    x = 1,226.92

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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.