Home / 1,149.38-1,724.08-283.70

Finding the Fourth Proportional to 1,149.38, 1,724.08 and 283.70

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Solution

The fourth proportional to 1,149.38, 1,724.08 and 283.70 is: 425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.38 : 1,724.08 = 283.70 : x
  2. Step 2: Convert to fraction form
    1,149.38/1,724.08 = 283.70/x
  3. Step 3: Cross multiply
    1,149.38x = 1,724.08 × 283.70
  4. Step 4: Simplify right side
    1,149.38x = 489,121.50
  5. Step 5: Solve for x
    x = 489,121.50/1,149.38
  6. Step 6: Final answer
    x = 425.55

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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.