Home / 1,029.24-1,419.78-635.96

Finding the Fourth Proportional to 1,029.24, 1,419.78 and 635.96

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Solution

The fourth proportional to 1,029.24, 1,419.78 and 635.96 is: 877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.24 : 1,419.78 = 635.96 : x
  2. Step 2: Convert to fraction form
    1,029.24/1,419.78 = 635.96/x
  3. Step 3: Cross multiply
    1,029.24x = 1,419.78 × 635.96
  4. Step 4: Simplify right side
    1,029.24x = 902,923.29
  5. Step 5: Solve for x
    x = 902,923.29/1,029.24
  6. Step 6: Final answer
    x = 877.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.