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Finding the Fourth Proportional to 643.66, 966.18 and 400.36

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Solution

The fourth proportional to 643.66, 966.18 and 400.36 is: 600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.66 : 966.18 = 400.36 : x
  2. Step 2: Convert to fraction form
    643.66/966.18 = 400.36/x
  3. Step 3: Cross multiply
    643.66x = 966.18 × 400.36
  4. Step 4: Simplify right side
    643.66x = 386,818.47
  5. Step 5: Solve for x
    x = 386,818.47/643.66
  6. Step 6: Final answer
    x = 600.96

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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.