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Finding the Fourth Proportional to 820.76, 1,132.68 and 489.38

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Solution

The fourth proportional to 820.76, 1,132.68 and 489.38 is: 675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.76 : 1,132.68 = 489.38 : x
  2. Step 2: Convert to fraction form
    820.76/1,132.68 = 489.38/x
  3. Step 3: Cross multiply
    820.76x = 1,132.68 × 489.38
  4. Step 4: Simplify right side
    820.76x = 554,310.94
  5. Step 5: Solve for x
    x = 554,310.94/820.76
  6. Step 6: Final answer
    x = 675.36

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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.