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Finding the Fourth Proportional to 881.87, 1,321.63 and 470.12

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Solution

The fourth proportional to 881.87, 1,321.63 and 470.12 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,321.63 = 470.12 : x
  2. Step 2: Convert to fraction form
    881.87/1,321.63 = 470.12/x
  3. Step 3: Cross multiply
    881.87x = 1,321.63 × 470.12
  4. Step 4: Simplify right side
    881.87x = 621,324.70
  5. Step 5: Solve for x
    x = 621,324.70/881.87
  6. Step 6: Final answer
    x = 704.55

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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.