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Finding the Fourth Proportional to 643.74, 966.10 and 297.22

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Solution

The fourth proportional to 643.74, 966.10 and 297.22 is: 446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 966.10 = 297.22 : x
  2. Step 2: Convert to fraction form
    643.74/966.10 = 297.22/x
  3. Step 3: Cross multiply
    643.74x = 966.10 × 297.22
  4. Step 4: Simplify right side
    643.74x = 287,144.24
  5. Step 5: Solve for x
    x = 287,144.24/643.74
  6. Step 6: Final answer
    x = 446.06

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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.