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Finding the Fourth Proportional to 772.96, 1,067.78 and 623.36

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Solution

The fourth proportional to 772.96, 1,067.78 and 623.36 is: 861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,067.78 = 623.36 : x
  2. Step 2: Convert to fraction form
    772.96/1,067.78 = 623.36/x
  3. Step 3: Cross multiply
    772.96x = 1,067.78 × 623.36
  4. Step 4: Simplify right side
    772.96x = 665,615.57
  5. Step 5: Solve for x
    x = 665,615.57/772.96
  6. Step 6: Final answer
    x = 861.13

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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.