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Finding the Fourth Proportional to 882.50, 1,321.92 and 817.70

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Solution

The fourth proportional to 882.50, 1,321.92 and 817.70 is: 1,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,321.92 = 817.70 : x
  2. Step 2: Convert to fraction form
    882.50/1,321.92 = 817.70/x
  3. Step 3: Cross multiply
    882.50x = 1,321.92 × 817.70
  4. Step 4: Simplify right side
    882.50x = 1,080,927.37
  5. Step 5: Solve for x
    x = 1,080,927.37/882.50
  6. Step 6: Final answer
    x = 1,224.85

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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.