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Finding the Fourth Proportional to 773.37, 1,067.02 and 458.69

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Solution

The fourth proportional to 773.37, 1,067.02 and 458.69 is: 632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.37 : 1,067.02 = 458.69 : x
  2. Step 2: Convert to fraction form
    773.37/1,067.02 = 458.69/x
  3. Step 3: Cross multiply
    773.37x = 1,067.02 × 458.69
  4. Step 4: Simplify right side
    773.37x = 489,424.92
  5. Step 5: Solve for x
    x = 489,424.92/773.37
  6. Step 6: Final answer
    x = 632.85

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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.