Home / 1,027.42-1,541.94-540.76

Finding the Fourth Proportional to 1,027.42, 1,541.94 and 540.76

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Solution

The fourth proportional to 1,027.42, 1,541.94 and 540.76 is: 811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,541.94 = 540.76 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,541.94 = 540.76/x
  3. Step 3: Cross multiply
    1,027.42x = 1,541.94 × 540.76
  4. Step 4: Simplify right side
    1,027.42x = 833,819.47
  5. Step 5: Solve for x
    x = 833,819.47/1,027.42
  6. Step 6: Final answer
    x = 811.57

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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.