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Finding the Fourth Proportional to 2,233.90, 3,351.08 and 772.72

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Solution

The fourth proportional to 2,233.90, 3,351.08 and 772.72 is: 1,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.90 : 3,351.08 = 772.72 : x
  2. Step 2: Convert to fraction form
    2,233.90/3,351.08 = 772.72/x
  3. Step 3: Cross multiply
    2,233.90x = 3,351.08 × 772.72
  4. Step 4: Simplify right side
    2,233.90x = 2,589,446.54
  5. Step 5: Solve for x
    x = 2,589,446.54/2,233.90
  6. Step 6: Final answer
    x = 1,159.16

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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.