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Finding the Fourth Proportional to 881.20, 1,319.10 and 881.20

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Solution

The fourth proportional to 881.20, 1,319.10 and 881.20 is: 1,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.20 : 1,319.10 = 881.20 : x
  2. Step 2: Convert to fraction form
    881.20/1,319.10 = 881.20/x
  3. Step 3: Cross multiply
    881.20x = 1,319.10 × 881.20
  4. Step 4: Simplify right side
    881.20x = 1,162,390.92
  5. Step 5: Solve for x
    x = 1,162,390.92/881.20
  6. Step 6: Final answer
    x = 1,319.10

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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.