Home / 1,025.64-1,538.46-256.14

Finding the Fourth Proportional to 1,025.64, 1,538.46 and 256.14

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Solution

The fourth proportional to 1,025.64, 1,538.46 and 256.14 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.64 : 1,538.46 = 256.14 : x
  2. Step 2: Convert to fraction form
    1,025.64/1,538.46 = 256.14/x
  3. Step 3: Cross multiply
    1,025.64x = 1,538.46 × 256.14
  4. Step 4: Simplify right side
    1,025.64x = 394,061.14
  5. Step 5: Solve for x
    x = 394,061.14/1,025.64
  6. Step 6: Final answer
    x = 384.21

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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.