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Finding the Fourth Proportional to 699.78, 966.12 and 447.72

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Solution

The fourth proportional to 699.78, 966.12 and 447.72 is: 618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.78 : 966.12 = 447.72 : x
  2. Step 2: Convert to fraction form
    699.78/966.12 = 447.72/x
  3. Step 3: Cross multiply
    699.78x = 966.12 × 447.72
  4. Step 4: Simplify right side
    699.78x = 432,551.25
  5. Step 5: Solve for x
    x = 432,551.25/699.78
  6. Step 6: Final answer
    x = 618.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.