Home / 1,216.30-1,824.35-486.04

Finding the Fourth Proportional to 1,216.30, 1,824.35 and 486.04

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Solution

The fourth proportional to 1,216.30, 1,824.35 and 486.04 is: 729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.30 : 1,824.35 = 486.04 : x
  2. Step 2: Convert to fraction form
    1,216.30/1,824.35 = 486.04/x
  3. Step 3: Cross multiply
    1,216.30x = 1,824.35 × 486.04
  4. Step 4: Simplify right side
    1,216.30x = 886,707.07
  5. Step 5: Solve for x
    x = 886,707.07/1,216.30
  6. Step 6: Final answer
    x = 729.02

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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.