Home / 1,027.50-1,541.43-540.42

Finding the Fourth Proportional to 1,027.50, 1,541.43 and 540.42

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Solution

The fourth proportional to 1,027.50, 1,541.43 and 540.42 is: 810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.50 : 1,541.43 = 540.42 : x
  2. Step 2: Convert to fraction form
    1,027.50/1,541.43 = 540.42/x
  3. Step 3: Cross multiply
    1,027.50x = 1,541.43 × 540.42
  4. Step 4: Simplify right side
    1,027.50x = 833,019.60
  5. Step 5: Solve for x
    x = 833,019.60/1,027.50
  6. Step 6: Final answer
    x = 810.72

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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.