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Finding the Fourth Proportional to 906.28, 1,251.02 and 779.75

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Solution

The fourth proportional to 906.28, 1,251.02 and 779.75 is: 1,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,251.02 = 779.75 : x
  2. Step 2: Convert to fraction form
    906.28/1,251.02 = 779.75/x
  3. Step 3: Cross multiply
    906.28x = 1,251.02 × 779.75
  4. Step 4: Simplify right side
    906.28x = 975,482.85
  5. Step 5: Solve for x
    x = 975,482.85/906.28
  6. Step 6: Final answer
    x = 1,076.36

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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.