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Finding the Fourth Proportional to 774.27, 1,162.22 and 688.14

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Solution

The fourth proportional to 774.27, 1,162.22 and 688.14 is: 1,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.27 : 1,162.22 = 688.14 : x
  2. Step 2: Convert to fraction form
    774.27/1,162.22 = 688.14/x
  3. Step 3: Cross multiply
    774.27x = 1,162.22 × 688.14
  4. Step 4: Simplify right side
    774.27x = 799,766.63
  5. Step 5: Solve for x
    x = 799,766.63/774.27
  6. Step 6: Final answer
    x = 1,032.93

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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.