Home / 1,027.82-1,541.75-258.32

Finding the Fourth Proportional to 1,027.82, 1,541.75 and 258.32

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Solution

The fourth proportional to 1,027.82, 1,541.75 and 258.32 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,541.75 = 258.32 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,541.75 = 258.32/x
  3. Step 3: Cross multiply
    1,027.82x = 1,541.75 × 258.32
  4. Step 4: Simplify right side
    1,027.82x = 398,267.42
  5. Step 5: Solve for x
    x = 398,267.42/1,027.82
  6. Step 6: Final answer
    x = 387.49

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Half scale
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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.