Home / 1,356.35-2,034.67-431.83

Finding the Fourth Proportional to 1,356.35, 2,034.67 and 431.83

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Solution

The fourth proportional to 1,356.35, 2,034.67 and 431.83 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.35 : 2,034.67 = 431.83 : x
  2. Step 2: Convert to fraction form
    1,356.35/2,034.67 = 431.83/x
  3. Step 3: Cross multiply
    1,356.35x = 2,034.67 × 431.83
  4. Step 4: Simplify right side
    1,356.35x = 878,633.82
  5. Step 5: Solve for x
    x = 878,633.82/1,356.35
  6. Step 6: Final answer
    x = 647.80

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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.