Home / 1,356.10-2,034.45-431.71

Finding the Fourth Proportional to 1,356.10, 2,034.45 and 431.71

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Solution

The fourth proportional to 1,356.10, 2,034.45 and 431.71 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.10 : 2,034.45 = 431.71 : x
  2. Step 2: Convert to fraction form
    1,356.10/2,034.45 = 431.71/x
  3. Step 3: Cross multiply
    1,356.10x = 2,034.45 × 431.71
  4. Step 4: Simplify right side
    1,356.10x = 878,287.32
  5. Step 5: Solve for x
    x = 878,287.32/1,356.10
  6. Step 6: Final answer
    x = 647.66

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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.