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Finding the Fourth Proportional to 2,254.02, 3,380.84 and 773.12

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Solution

The fourth proportional to 2,254.02, 3,380.84 and 773.12 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.02 : 3,380.84 = 773.12 : x
  2. Step 2: Convert to fraction form
    2,254.02/3,380.84 = 773.12/x
  3. Step 3: Cross multiply
    2,254.02x = 3,380.84 × 773.12
  4. Step 4: Simplify right side
    2,254.02x = 2,613,795.02
  5. Step 5: Solve for x
    x = 2,613,795.02/2,254.02
  6. Step 6: Final answer
    x = 1,159.61

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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.