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Finding the Fourth Proportional to 694.89, 960.75 and 664.29

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Solution

The fourth proportional to 694.89, 960.75 and 664.29 is: 918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.89 : 960.75 = 664.29 : x
  2. Step 2: Convert to fraction form
    694.89/960.75 = 664.29/x
  3. Step 3: Cross multiply
    694.89x = 960.75 × 664.29
  4. Step 4: Simplify right side
    694.89x = 638,216.62
  5. Step 5: Solve for x
    x = 638,216.62/694.89
  6. Step 6: Final answer
    x = 918.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.