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Finding the Fourth Proportional to 696.09, 960.69 and 447.32

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Solution

The fourth proportional to 696.09, 960.69 and 447.32 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.09 : 960.69 = 447.32 : x
  2. Step 2: Convert to fraction form
    696.09/960.69 = 447.32/x
  3. Step 3: Cross multiply
    696.09x = 960.69 × 447.32
  4. Step 4: Simplify right side
    696.09x = 429,731.05
  5. Step 5: Solve for x
    x = 429,731.05/696.09
  6. Step 6: Final answer
    x = 617.35

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Double scale
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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.