Home / 1,027.43-1,541.06-615.65

Finding the Fourth Proportional to 1,027.43, 1,541.06 and 615.65

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Solution

The fourth proportional to 1,027.43, 1,541.06 and 615.65 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.43 : 1,541.06 = 615.65 : x
  2. Step 2: Convert to fraction form
    1,027.43/1,541.06 = 615.65/x
  3. Step 3: Cross multiply
    1,027.43x = 1,541.06 × 615.65
  4. Step 4: Simplify right side
    1,027.43x = 948,742.81
  5. Step 5: Solve for x
    x = 948,742.81/1,027.43
  6. Step 6: Final answer
    x = 923.42

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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.