Home / 2,204.25-3,306.40-723.45

Finding the Fourth Proportional to 2,204.25, 3,306.40 and 723.45

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Solution

The fourth proportional to 2,204.25, 3,306.40 and 723.45 is: 1,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.25 : 3,306.40 = 723.45 : x
  2. Step 2: Convert to fraction form
    2,204.25/3,306.40 = 723.45/x
  3. Step 3: Cross multiply
    2,204.25x = 3,306.40 × 723.45
  4. Step 4: Simplify right side
    2,204.25x = 2,392,011.46
  5. Step 5: Solve for x
    x = 2,392,011.46/2,204.25
  6. Step 6: Final answer
    x = 1,085.18

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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.