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Finding the Fourth Proportional to 643.78, 964.59 and 296.61

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Solution

The fourth proportional to 643.78, 964.59 and 296.61 is: 444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.78 : 964.59 = 296.61 : x
  2. Step 2: Convert to fraction form
    643.78/964.59 = 296.61/x
  3. Step 3: Cross multiply
    643.78x = 964.59 × 296.61
  4. Step 4: Simplify right side
    643.78x = 286,107.04
  5. Step 5: Solve for x
    x = 286,107.04/643.78
  6. Step 6: Final answer
    x = 444.42

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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.