Home / 1,233.80-1,849.27-540.30

Finding the Fourth Proportional to 1,233.80, 1,849.27 and 540.30

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Solution

The fourth proportional to 1,233.80, 1,849.27 and 540.30 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.80 : 1,849.27 = 540.30 : x
  2. Step 2: Convert to fraction form
    1,233.80/1,849.27 = 540.30/x
  3. Step 3: Cross multiply
    1,233.80x = 1,849.27 × 540.30
  4. Step 4: Simplify right side
    1,233.80x = 999,160.58
  5. Step 5: Solve for x
    x = 999,160.58/1,233.80
  6. Step 6: Final answer
    x = 809.82

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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.