Home / 1,356.17-2,034.56-431.78

Finding the Fourth Proportional to 1,356.17, 2,034.56 and 431.78

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Solution

The fourth proportional to 1,356.17, 2,034.56 and 431.78 is: 647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.17 : 2,034.56 = 431.78 : x
  2. Step 2: Convert to fraction form
    1,356.17/2,034.56 = 431.78/x
  3. Step 3: Cross multiply
    1,356.17x = 2,034.56 × 431.78
  4. Step 4: Simplify right side
    1,356.17x = 878,473.22
  5. Step 5: Solve for x
    x = 878,473.22/1,356.17
  6. Step 6: Final answer
    x = 647.76

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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.