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Finding the Fourth Proportional to 882.20, 1,322.87 and 265.79

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Solution

The fourth proportional to 882.20, 1,322.87 and 265.79 is: 398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.20 : 1,322.87 = 265.79 : x
  2. Step 2: Convert to fraction form
    882.20/1,322.87 = 265.79/x
  3. Step 3: Cross multiply
    882.20x = 1,322.87 × 265.79
  4. Step 4: Simplify right side
    882.20x = 351,606.28
  5. Step 5: Solve for x
    x = 351,606.28/882.20
  6. Step 6: Final answer
    x = 398.56

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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.