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Finding the Fourth Proportional to 774.64, 1,162.06 and 254.48

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Solution

The fourth proportional to 774.64, 1,162.06 and 254.48 is: 381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,162.06 = 254.48 : x
  2. Step 2: Convert to fraction form
    774.64/1,162.06 = 254.48/x
  3. Step 3: Cross multiply
    774.64x = 1,162.06 × 254.48
  4. Step 4: Simplify right side
    774.64x = 295,723.30
  5. Step 5: Solve for x
    x = 295,723.30/774.64
  6. Step 6: Final answer
    x = 381.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.