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Finding the Fourth Proportional to 1,025.47, 1,538.21 and 255.97

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Solution

The fourth proportional to 1,025.47, 1,538.21 and 255.97 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.47 : 1,538.21 = 255.97 : x
  2. Step 2: Convert to fraction form
    1,025.47/1,538.21 = 255.97/x
  3. Step 3: Cross multiply
    1,025.47x = 1,538.21 × 255.97
  4. Step 4: Simplify right side
    1,025.47x = 393,735.61
  5. Step 5: Solve for x
    x = 393,735.61/1,025.47
  6. Step 6: Final answer
    x = 383.96

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Double scale
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Similar ratio
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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.