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Finding the Fourth Proportional to 643.53, 966.12 and 335.60

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Solution

The fourth proportional to 643.53, 966.12 and 335.60 is: 503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.53 : 966.12 = 335.60 : x
  2. Step 2: Convert to fraction form
    643.53/966.12 = 335.60/x
  3. Step 3: Cross multiply
    643.53x = 966.12 × 335.60
  4. Step 4: Simplify right side
    643.53x = 324,225.04
  5. Step 5: Solve for x
    x = 324,225.04/643.53
  6. Step 6: Final answer
    x = 503.82

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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.