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Finding the Fourth Proportional to 1,149.44, 1,724.17 and 283.76

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Solution

The fourth proportional to 1,149.44, 1,724.17 and 283.76 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.44 : 1,724.17 = 283.76 : x
  2. Step 2: Convert to fraction form
    1,149.44/1,724.17 = 283.76/x
  3. Step 3: Cross multiply
    1,149.44x = 1,724.17 × 283.76
  4. Step 4: Simplify right side
    1,149.44x = 489,250.48
  5. Step 5: Solve for x
    x = 489,250.48/1,149.44
  6. Step 6: Final answer
    x = 425.64

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Double scale
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1.5x scale

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.