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Finding the Fourth Proportional to 881.14, 1,320.62 and 332.86

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Solution

The fourth proportional to 881.14, 1,320.62 and 332.86 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.14 : 1,320.62 = 332.86 : x
  2. Step 2: Convert to fraction form
    881.14/1,320.62 = 332.86/x
  3. Step 3: Cross multiply
    881.14x = 1,320.62 × 332.86
  4. Step 4: Simplify right side
    881.14x = 439,581.57
  5. Step 5: Solve for x
    x = 439,581.57/881.14
  6. Step 6: Final answer
    x = 498.88

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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.