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Finding the Fourth Proportional to 696.90, 961.08 and 447.78

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Solution

The fourth proportional to 696.90, 961.08 and 447.78 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 961.08 = 447.78 : x
  2. Step 2: Convert to fraction form
    696.90/961.08 = 447.78/x
  3. Step 3: Cross multiply
    696.90x = 961.08 × 447.78
  4. Step 4: Simplify right side
    696.90x = 430,352.40
  5. Step 5: Solve for x
    x = 430,352.40/696.90
  6. Step 6: Final answer
    x = 617.52

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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.