Home / 1,311.11-1,967.34-726.00

Finding the Fourth Proportional to 1,311.11, 1,967.34 and 726.00

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Solution

The fourth proportional to 1,311.11, 1,967.34 and 726.00 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.11 : 1,967.34 = 726.00 : x
  2. Step 2: Convert to fraction form
    1,311.11/1,967.34 = 726.00/x
  3. Step 3: Cross multiply
    1,311.11x = 1,967.34 × 726.00
  4. Step 4: Simplify right side
    1,311.11x = 1,428,298.74
  5. Step 5: Solve for x
    x = 1,428,298.74/1,311.11
  6. Step 6: Final answer
    x = 1,089.38

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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.