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Finding the Fourth Proportional to 696.49, 960.59 and 447.83

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Solution

The fourth proportional to 696.49, 960.59 and 447.83 is: 617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.49 : 960.59 = 447.83 : x
  2. Step 2: Convert to fraction form
    696.49/960.59 = 447.83/x
  3. Step 3: Cross multiply
    696.49x = 960.59 × 447.83
  4. Step 4: Simplify right side
    696.49x = 430,181.02
  5. Step 5: Solve for x
    x = 430,181.02/696.49
  6. Step 6: Final answer
    x = 617.64

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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.