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Finding the Fourth Proportional to 696.19, 960.29 and 447.12

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Solution

The fourth proportional to 696.19, 960.29 and 447.12 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.19 : 960.29 = 447.12 : x
  2. Step 2: Convert to fraction form
    696.19/960.29 = 447.12/x
  3. Step 3: Cross multiply
    696.19x = 960.29 × 447.12
  4. Step 4: Simplify right side
    696.19x = 429,357.83
  5. Step 5: Solve for x
    x = 429,357.83/696.19
  6. Step 6: Final answer
    x = 616.73

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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.