Home / 1,214.19-1,821.75-726.96

Finding the Fourth Proportional to 1,214.19, 1,821.75 and 726.96

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Solution

The fourth proportional to 1,214.19, 1,821.75 and 726.96 is: 1,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.19 : 1,821.75 = 726.96 : x
  2. Step 2: Convert to fraction form
    1,214.19/1,821.75 = 726.96/x
  3. Step 3: Cross multiply
    1,214.19x = 1,821.75 × 726.96
  4. Step 4: Simplify right side
    1,214.19x = 1,324,339.38
  5. Step 5: Solve for x
    x = 1,324,339.38/1,214.19
  6. Step 6: Final answer
    x = 1,090.72

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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.