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Finding the Fourth Proportional to 696.33, 960.57 and 447.57

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Solution

The fourth proportional to 696.33, 960.57 and 447.57 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.33 : 960.57 = 447.57 : x
  2. Step 2: Convert to fraction form
    696.33/960.57 = 447.57/x
  3. Step 3: Cross multiply
    696.33x = 960.57 × 447.57
  4. Step 4: Simplify right side
    696.33x = 429,922.31
  5. Step 5: Solve for x
    x = 429,922.31/696.33
  6. Step 6: Final answer
    x = 617.41

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1.5x scale

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.