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Finding the Fourth Proportional to 773.52, 1,067.58 and 458.79

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Solution

The fourth proportional to 773.52, 1,067.58 and 458.79 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,067.58 = 458.79 : x
  2. Step 2: Convert to fraction form
    773.52/1,067.58 = 458.79/x
  3. Step 3: Cross multiply
    773.52x = 1,067.58 × 458.79
  4. Step 4: Simplify right side
    773.52x = 489,795.03
  5. Step 5: Solve for x
    x = 489,795.03/773.52
  6. Step 6: Final answer
    x = 633.20

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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.