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Finding the Fourth Proportional to 643.48, 966.81 and 412.47

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Solution

The fourth proportional to 643.48, 966.81 and 412.47 is: 619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 966.81 = 412.47 : x
  2. Step 2: Convert to fraction form
    643.48/966.81 = 412.47/x
  3. Step 3: Cross multiply
    643.48x = 966.81 × 412.47
  4. Step 4: Simplify right side
    643.48x = 398,778.06
  5. Step 5: Solve for x
    x = 398,778.06/643.48
  6. Step 6: Final answer
    x = 619.72

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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.