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Finding the Fourth Proportional to 643.52, 965.38 and 297.20

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Solution

The fourth proportional to 643.52, 965.38 and 297.20 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.52 : 965.38 = 297.20 : x
  2. Step 2: Convert to fraction form
    643.52/965.38 = 297.20/x
  3. Step 3: Cross multiply
    643.52x = 965.38 × 297.20
  4. Step 4: Simplify right side
    643.52x = 286,910.94
  5. Step 5: Solve for x
    x = 286,910.94/643.52
  6. Step 6: Final answer
    x = 445.85

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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.