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Finding the Fourth Proportional to 774.50, 1,162.90 and 762.96

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Solution

The fourth proportional to 774.50, 1,162.90 and 762.96 is: 1,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.50 : 1,162.90 = 762.96 : x
  2. Step 2: Convert to fraction form
    774.50/1,162.90 = 762.96/x
  3. Step 3: Cross multiply
    774.50x = 1,162.90 × 762.96
  4. Step 4: Simplify right side
    774.50x = 887,246.18
  5. Step 5: Solve for x
    x = 887,246.18/774.50
  6. Step 6: Final answer
    x = 1,145.57

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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.