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Finding the Fourth Proportional to 641.61, 960.93 and 397.26

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Solution

The fourth proportional to 641.61, 960.93 and 397.26 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.61 : 960.93 = 397.26 : x
  2. Step 2: Convert to fraction form
    641.61/960.93 = 397.26/x
  3. Step 3: Cross multiply
    641.61x = 960.93 × 397.26
  4. Step 4: Simplify right side
    641.61x = 381,739.05
  5. Step 5: Solve for x
    x = 381,739.05/641.61
  6. Step 6: Final answer
    x = 594.97

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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.