Home / 1,233.56-1,849.77-539.80

Finding the Fourth Proportional to 1,233.56, 1,849.77 and 539.80

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Solution

The fourth proportional to 1,233.56, 1,849.77 and 539.80 is: 809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.56 : 1,849.77 = 539.80 : x
  2. Step 2: Convert to fraction form
    1,233.56/1,849.77 = 539.80/x
  3. Step 3: Cross multiply
    1,233.56x = 1,849.77 × 539.80
  4. Step 4: Simplify right side
    1,233.56x = 998,501.22
  5. Step 5: Solve for x
    x = 998,501.22/1,233.56
  6. Step 6: Final answer
    x = 809.45

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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.