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Finding the Fourth Proportional to 643.23, 966.21 and 461.79

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Solution

The fourth proportional to 643.23, 966.21 and 461.79 is: 693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.23 : 966.21 = 461.79 : x
  2. Step 2: Convert to fraction form
    643.23/966.21 = 461.79/x
  3. Step 3: Cross multiply
    643.23x = 966.21 × 461.79
  4. Step 4: Simplify right side
    643.23x = 446,186.12
  5. Step 5: Solve for x
    x = 446,186.12/643.23
  6. Step 6: Final answer
    x = 693.66

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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.