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Finding the Fourth Proportional to 882.47, 1,217.78 and 489.48

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Solution

The fourth proportional to 882.47, 1,217.78 and 489.48 is: 675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.47 : 1,217.78 = 489.48 : x
  2. Step 2: Convert to fraction form
    882.47/1,217.78 = 489.48/x
  3. Step 3: Cross multiply
    882.47x = 1,217.78 × 489.48
  4. Step 4: Simplify right side
    882.47x = 596,078.95
  5. Step 5: Solve for x
    x = 596,078.95/882.47
  6. Step 6: Final answer
    x = 675.47

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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.