Home / 1,540.23-2,309.83-499.96

Finding the Fourth Proportional to 1,540.23, 2,309.83 and 499.96

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Solution

The fourth proportional to 1,540.23, 2,309.83 and 499.96 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.23 : 2,309.83 = 499.96 : x
  2. Step 2: Convert to fraction form
    1,540.23/2,309.83 = 499.96/x
  3. Step 3: Cross multiply
    1,540.23x = 2,309.83 × 499.96
  4. Step 4: Simplify right side
    1,540.23x = 1,154,822.61
  5. Step 5: Solve for x
    x = 1,154,822.61/1,540.23
  6. Step 6: Final answer
    x = 749.77

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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.