Home / 1,233.83-1,849.17-540.32

Finding the Fourth Proportional to 1,233.83, 1,849.17 and 540.32

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Solution

The fourth proportional to 1,233.83, 1,849.17 and 540.32 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.83 : 1,849.17 = 540.32 : x
  2. Step 2: Convert to fraction form
    1,233.83/1,849.17 = 540.32/x
  3. Step 3: Cross multiply
    1,233.83x = 1,849.17 × 540.32
  4. Step 4: Simplify right side
    1,233.83x = 999,134.29
  5. Step 5: Solve for x
    x = 999,134.29/1,233.83
  6. Step 6: Final answer
    x = 809.78

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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.