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Finding the Fourth Proportional to 1,025.44, 1,538.17 and 255.94

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Solution

The fourth proportional to 1,025.44, 1,538.17 and 255.94 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.44 : 1,538.17 = 255.94 : x
  2. Step 2: Convert to fraction form
    1,025.44/1,538.17 = 255.94/x
  3. Step 3: Cross multiply
    1,025.44x = 1,538.17 × 255.94
  4. Step 4: Simplify right side
    1,025.44x = 393,674.74
  5. Step 5: Solve for x
    x = 393,674.74/1,025.44
  6. Step 6: Final answer
    x = 383.91

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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.