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Finding the Fourth Proportional to 774.42, 1,166.94 and 640.47

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Solution

The fourth proportional to 774.42, 1,166.94 and 640.47 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,166.94 = 640.47 : x
  2. Step 2: Convert to fraction form
    774.42/1,166.94 = 640.47/x
  3. Step 3: Cross multiply
    774.42x = 1,166.94 × 640.47
  4. Step 4: Simplify right side
    774.42x = 747,388.09
  5. Step 5: Solve for x
    x = 747,388.09/774.42
  6. Step 6: Final answer
    x = 965.09

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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.