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Finding the Fourth Proportional to 2,262.88, 3,394.52 and 723.88

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Solution

The fourth proportional to 2,262.88, 3,394.52 and 723.88 is: 1,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.88 : 3,394.52 = 723.88 : x
  2. Step 2: Convert to fraction form
    2,262.88/3,394.52 = 723.88/x
  3. Step 3: Cross multiply
    2,262.88x = 3,394.52 × 723.88
  4. Step 4: Simplify right side
    2,262.88x = 2,457,225.14
  5. Step 5: Solve for x
    x = 2,457,225.14/2,262.88
  6. Step 6: Final answer
    x = 1,085.88

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1.5x scale

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.