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Finding the Fourth Proportional to 882.73, 1,218.24 and 489.88

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Solution

The fourth proportional to 882.73, 1,218.24 and 489.88 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.73 : 1,218.24 = 489.88 : x
  2. Step 2: Convert to fraction form
    882.73/1,218.24 = 489.88/x
  3. Step 3: Cross multiply
    882.73x = 1,218.24 × 489.88
  4. Step 4: Simplify right side
    882.73x = 596,782.87
  5. Step 5: Solve for x
    x = 596,782.87/882.73
  6. Step 6: Final answer
    x = 676.07

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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.