Home / 1,405.22-2,108.19-635.78

Finding the Fourth Proportional to 1,405.22, 2,108.19 and 635.78

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Solution

The fourth proportional to 1,405.22, 2,108.19 and 635.78 is: 953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.22 : 2,108.19 = 635.78 : x
  2. Step 2: Convert to fraction form
    1,405.22/2,108.19 = 635.78/x
  3. Step 3: Cross multiply
    1,405.22x = 2,108.19 × 635.78
  4. Step 4: Simplify right side
    1,405.22x = 1,340,345.04
  5. Step 5: Solve for x
    x = 1,340,345.04/1,405.22
  6. Step 6: Final answer
    x = 953.83

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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.