Home / 1,232.20-1,849.20-583.07

Finding the Fourth Proportional to 1,232.20, 1,849.20 and 583.07

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Solution

The fourth proportional to 1,232.20, 1,849.20 and 583.07 is: 875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.20 : 1,849.20 = 583.07 : x
  2. Step 2: Convert to fraction form
    1,232.20/1,849.20 = 583.07/x
  3. Step 3: Cross multiply
    1,232.20x = 1,849.20 × 583.07
  4. Step 4: Simplify right side
    1,232.20x = 1,078,213.04
  5. Step 5: Solve for x
    x = 1,078,213.04/1,232.20
  6. Step 6: Final answer
    x = 875.03

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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.