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Finding the Fourth Proportional to 774.37, 1,166.88 and 640.43

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Solution

The fourth proportional to 774.37, 1,166.88 and 640.43 is: 965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.37 : 1,166.88 = 640.43 : x
  2. Step 2: Convert to fraction form
    774.37/1,166.88 = 640.43/x
  3. Step 3: Cross multiply
    774.37x = 1,166.88 × 640.43
  4. Step 4: Simplify right side
    774.37x = 747,299.12
  5. Step 5: Solve for x
    x = 747,299.12/774.37
  6. Step 6: Final answer
    x = 965.04

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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.