Home / 1,027.65-1,541.57-411.02

Finding the Fourth Proportional to 1,027.65, 1,541.57 and 411.02

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Solution

The fourth proportional to 1,027.65, 1,541.57 and 411.02 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.65 : 1,541.57 = 411.02 : x
  2. Step 2: Convert to fraction form
    1,027.65/1,541.57 = 411.02/x
  3. Step 3: Cross multiply
    1,027.65x = 1,541.57 × 411.02
  4. Step 4: Simplify right side
    1,027.65x = 633,617.90
  5. Step 5: Solve for x
    x = 633,617.90/1,027.65
  6. Step 6: Final answer
    x = 616.57

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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.