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Finding the Fourth Proportional to 882.35, 1,217.30 and 616.72

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Solution

The fourth proportional to 882.35, 1,217.30 and 616.72 is: 850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.35 : 1,217.30 = 616.72 : x
  2. Step 2: Convert to fraction form
    882.35/1,217.30 = 616.72/x
  3. Step 3: Cross multiply
    882.35x = 1,217.30 × 616.72
  4. Step 4: Simplify right side
    882.35x = 750,727.13
  5. Step 5: Solve for x
    x = 750,727.13/882.35
  6. Step 6: Final answer
    x = 850.82

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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.