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Finding the Fourth Proportional to 774.98, 1,162.58 and 254.80

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Solution

The fourth proportional to 774.98, 1,162.58 and 254.80 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,162.58 = 254.80 : x
  2. Step 2: Convert to fraction form
    774.98/1,162.58 = 254.80/x
  3. Step 3: Cross multiply
    774.98x = 1,162.58 × 254.80
  4. Step 4: Simplify right side
    774.98x = 296,218.30
  5. Step 5: Solve for x
    x = 296,218.30/774.98
  6. Step 6: Final answer
    x = 382.23

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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.