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Finding the Fourth Proportional to 906.28, 1,249.45 and 772.97

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Solution

The fourth proportional to 906.28, 1,249.45 and 772.97 is: 1,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,249.45 = 772.97 : x
  2. Step 2: Convert to fraction form
    906.28/1,249.45 = 772.97/x
  3. Step 3: Cross multiply
    906.28x = 1,249.45 × 772.97
  4. Step 4: Simplify right side
    906.28x = 965,779.19
  5. Step 5: Solve for x
    x = 965,779.19/906.28
  6. Step 6: Final answer
    x = 1,065.66

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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.