Home / 1,232.40-1,849.12-539.22

Finding the Fourth Proportional to 1,232.40, 1,849.12 and 539.22

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Solution

The fourth proportional to 1,232.40, 1,849.12 and 539.22 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.40 : 1,849.12 = 539.22 : x
  2. Step 2: Convert to fraction form
    1,232.40/1,849.12 = 539.22/x
  3. Step 3: Cross multiply
    1,232.40x = 1,849.12 × 539.22
  4. Step 4: Simplify right side
    1,232.40x = 997,082.49
  5. Step 5: Solve for x
    x = 997,082.49/1,232.40
  6. Step 6: Final answer
    x = 809.06

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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.