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Finding the Fourth Proportional to 882.50, 1,217.97 and 808.38

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Solution

The fourth proportional to 882.50, 1,217.97 and 808.38 is: 1,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,217.97 = 808.38 : x
  2. Step 2: Convert to fraction form
    882.50/1,217.97 = 808.38/x
  3. Step 3: Cross multiply
    882.50x = 1,217.97 × 808.38
  4. Step 4: Simplify right side
    882.50x = 984,582.59
  5. Step 5: Solve for x
    x = 984,582.59/882.50
  6. Step 6: Final answer
    x = 1,115.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.