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Finding the Fourth Proportional to 773.27, 1,067.11 and 419.19

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Solution

The fourth proportional to 773.27, 1,067.11 and 419.19 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.27 : 1,067.11 = 419.19 : x
  2. Step 2: Convert to fraction form
    773.27/1,067.11 = 419.19/x
  3. Step 3: Cross multiply
    773.27x = 1,067.11 × 419.19
  4. Step 4: Simplify right side
    773.27x = 447,319.74
  5. Step 5: Solve for x
    x = 447,319.74/773.27
  6. Step 6: Final answer
    x = 578.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.