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Finding the Fourth Proportional to 643.17, 965.36 and 335.23

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Solution

The fourth proportional to 643.17, 965.36 and 335.23 is: 503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.17 : 965.36 = 335.23 : x
  2. Step 2: Convert to fraction form
    643.17/965.36 = 335.23/x
  3. Step 3: Cross multiply
    643.17x = 965.36 × 335.23
  4. Step 4: Simplify right side
    643.17x = 323,617.63
  5. Step 5: Solve for x
    x = 323,617.63/643.17
  6. Step 6: Final answer
    x = 503.16

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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.