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Finding the Fourth Proportional to 881.69, 1,321.13 and 325.63

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Solution

The fourth proportional to 881.69, 1,321.13 and 325.63 is: 487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.69 : 1,321.13 = 325.63 : x
  2. Step 2: Convert to fraction form
    881.69/1,321.13 = 325.63/x
  3. Step 3: Cross multiply
    881.69x = 1,321.13 × 325.63
  4. Step 4: Simplify right side
    881.69x = 430,197.68
  5. Step 5: Solve for x
    x = 430,197.68/881.69
  6. Step 6: Final answer
    x = 487.93

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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.