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Finding the Fourth Proportional to 643.92, 961.86 and 469.10

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Solution

The fourth proportional to 643.92, 961.86 and 469.10 is: 700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 961.86 = 469.10 : x
  2. Step 2: Convert to fraction form
    643.92/961.86 = 469.10/x
  3. Step 3: Cross multiply
    643.92x = 961.86 × 469.10
  4. Step 4: Simplify right side
    643.92x = 451,203.72
  5. Step 5: Solve for x
    x = 451,203.72/643.92
  6. Step 6: Final answer
    x = 700.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.