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Finding the Fourth Proportional to 696.72, 961.01 and 447.65

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Solution

The fourth proportional to 696.72, 961.01 and 447.65 is: 617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 961.01 = 447.65 : x
  2. Step 2: Convert to fraction form
    696.72/961.01 = 447.65/x
  3. Step 3: Cross multiply
    696.72x = 961.01 × 447.65
  4. Step 4: Simplify right side
    696.72x = 430,196.13
  5. Step 5: Solve for x
    x = 430,196.13/696.72
  6. Step 6: Final answer
    x = 617.46

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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.