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Finding the Fourth Proportional to 1,027.94, 1,542.34 and 541.30

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Solution

The fourth proportional to 1,027.94, 1,542.34 and 541.30 is: 812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.94 : 1,542.34 = 541.30 : x
  2. Step 2: Convert to fraction form
    1,027.94/1,542.34 = 541.30/x
  3. Step 3: Cross multiply
    1,027.94x = 1,542.34 × 541.30
  4. Step 4: Simplify right side
    1,027.94x = 834,868.64
  5. Step 5: Solve for x
    x = 834,868.64/1,027.94
  6. Step 6: Final answer
    x = 812.18

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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.