Home / 1,027.42-1,541.40-540.34

Finding the Fourth Proportional to 1,027.42, 1,541.40 and 540.34

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Solution

The fourth proportional to 1,027.42, 1,541.40 and 540.34 is: 810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,541.40 = 540.34 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,541.40 = 540.34/x
  3. Step 3: Cross multiply
    1,027.42x = 1,541.40 × 540.34
  4. Step 4: Simplify right side
    1,027.42x = 832,880.08
  5. Step 5: Solve for x
    x = 832,880.08/1,027.42
  6. Step 6: Final answer
    x = 810.65

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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.