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Finding the Fourth Proportional to 643.64, 963.66 and 334.82

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Solution

The fourth proportional to 643.64, 963.66 and 334.82 is: 501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.64 : 963.66 = 334.82 : x
  2. Step 2: Convert to fraction form
    643.64/963.66 = 334.82/x
  3. Step 3: Cross multiply
    643.64x = 963.66 × 334.82
  4. Step 4: Simplify right side
    643.64x = 322,652.64
  5. Step 5: Solve for x
    x = 322,652.64/643.64
  6. Step 6: Final answer
    x = 501.29

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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.