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Finding the Fourth Proportional to 922.56, 1,382.40 and 489.60

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Solution

The fourth proportional to 922.56, 1,382.40 and 489.60 is: 733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.56 : 1,382.40 = 489.60 : x
  2. Step 2: Convert to fraction form
    922.56/1,382.40 = 489.60/x
  3. Step 3: Cross multiply
    922.56x = 1,382.40 × 489.60
  4. Step 4: Simplify right side
    922.56x = 676,823.04
  5. Step 5: Solve for x
    x = 676,823.04/922.56
  6. Step 6: Final answer
    x = 733.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.