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Finding the Fourth Proportional to 882.67, 1,317.55 and 818.42

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Solution

The fourth proportional to 882.67, 1,317.55 and 818.42 is: 1,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.67 : 1,317.55 = 818.42 : x
  2. Step 2: Convert to fraction form
    882.67/1,317.55 = 818.42/x
  3. Step 3: Cross multiply
    882.67x = 1,317.55 × 818.42
  4. Step 4: Simplify right side
    882.67x = 1,078,309.27
  5. Step 5: Solve for x
    x = 1,078,309.27/882.67
  6. Step 6: Final answer
    x = 1,221.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.