Home / 1,356.12-2,034.25-431.75

Finding the Fourth Proportional to 1,356.12, 2,034.25 and 431.75

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Solution

The fourth proportional to 1,356.12, 2,034.25 and 431.75 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.12 : 2,034.25 = 431.75 : x
  2. Step 2: Convert to fraction form
    1,356.12/2,034.25 = 431.75/x
  3. Step 3: Cross multiply
    1,356.12x = 2,034.25 × 431.75
  4. Step 4: Simplify right side
    1,356.12x = 878,287.44
  5. Step 5: Solve for x
    x = 878,287.44/1,356.12
  6. Step 6: Final answer
    x = 647.65

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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.