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Finding the Fourth Proportional to 773.88, 1,067.57 and 459.00

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Solution

The fourth proportional to 773.88, 1,067.57 and 459.00 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.88 : 1,067.57 = 459.00 : x
  2. Step 2: Convert to fraction form
    773.88/1,067.57 = 459.00/x
  3. Step 3: Cross multiply
    773.88x = 1,067.57 × 459.00
  4. Step 4: Simplify right side
    773.88x = 490,017.91
  5. Step 5: Solve for x
    x = 490,017.91/773.88
  6. Step 6: Final answer
    x = 633.20

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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.