Home / 1,542.23-2,311.11-664.47

Finding the Fourth Proportional to 1,542.23, 2,311.11 and 664.47

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Solution

The fourth proportional to 1,542.23, 2,311.11 and 664.47 is: 995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.23 : 2,311.11 = 664.47 : x
  2. Step 2: Convert to fraction form
    1,542.23/2,311.11 = 664.47/x
  3. Step 3: Cross multiply
    1,542.23x = 2,311.11 × 664.47
  4. Step 4: Simplify right side
    1,542.23x = 1,535,663.26
  5. Step 5: Solve for x
    x = 1,535,663.26/1,542.23
  6. Step 6: Final answer
    x = 995.75

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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.