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Finding the Fourth Proportional to 1,027.78, 1,541.70 and 541.78

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Solution

The fourth proportional to 1,027.78, 1,541.70 and 541.78 is: 812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.78 : 1,541.70 = 541.78 : x
  2. Step 2: Convert to fraction form
    1,027.78/1,541.70 = 541.78/x
  3. Step 3: Cross multiply
    1,027.78x = 1,541.70 × 541.78
  4. Step 4: Simplify right side
    1,027.78x = 835,262.23
  5. Step 5: Solve for x
    x = 835,262.23/1,027.78
  6. Step 6: Final answer
    x = 812.69

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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.