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Finding the Fourth Proportional to 1,356.44, 2,032.98 and 489.80

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Solution

The fourth proportional to 1,356.44, 2,032.98 and 489.80 is: 734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.44 : 2,032.98 = 489.80 : x
  2. Step 2: Convert to fraction form
    1,356.44/2,032.98 = 489.80/x
  3. Step 3: Cross multiply
    1,356.44x = 2,032.98 × 489.80
  4. Step 4: Simplify right side
    1,356.44x = 995,753.60
  5. Step 5: Solve for x
    x = 995,753.60/1,356.44
  6. Step 6: Final answer
    x = 734.09

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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.