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Finding the Fourth Proportional to 643.16, 962.91 and 447.95

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Solution

The fourth proportional to 643.16, 962.91 and 447.95 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 962.91 = 447.95 : x
  2. Step 2: Convert to fraction form
    643.16/962.91 = 447.95/x
  3. Step 3: Cross multiply
    643.16x = 962.91 × 447.95
  4. Step 4: Simplify right side
    643.16x = 431,330.72
  5. Step 5: Solve for x
    x = 431,330.72/643.16
  6. Step 6: Final answer
    x = 670.65

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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.