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Finding the Fourth Proportional to 774.38, 1,167.01 and 697.44

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Solution

The fourth proportional to 774.38, 1,167.01 and 697.44 is: 1,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,167.01 = 697.44 : x
  2. Step 2: Convert to fraction form
    774.38/1,167.01 = 697.44/x
  3. Step 3: Cross multiply
    774.38x = 1,167.01 × 697.44
  4. Step 4: Simplify right side
    774.38x = 813,919.45
  5. Step 5: Solve for x
    x = 813,919.45/774.38
  6. Step 6: Final answer
    x = 1,051.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.