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Finding the Fourth Proportional to 881.76, 1,321.78 and 491.41

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Solution

The fourth proportional to 881.76, 1,321.78 and 491.41 is: 736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.76 : 1,321.78 = 491.41 : x
  2. Step 2: Convert to fraction form
    881.76/1,321.78 = 491.41/x
  3. Step 3: Cross multiply
    881.76x = 1,321.78 × 491.41
  4. Step 4: Simplify right side
    881.76x = 649,535.91
  5. Step 5: Solve for x
    x = 649,535.91/881.76
  6. Step 6: Final answer
    x = 736.64

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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.