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Finding the Fourth Proportional to 466.53, 696.25 and 447.69

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Solution

The fourth proportional to 466.53, 696.25 and 447.69 is: 668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 696.25 = 447.69 : x
  2. Step 2: Convert to fraction form
    466.53/696.25 = 447.69/x
  3. Step 3: Cross multiply
    466.53x = 696.25 × 447.69
  4. Step 4: Simplify right side
    466.53x = 311,704.16
  5. Step 5: Solve for x
    x = 311,704.16/466.53
  6. Step 6: Final answer
    x = 668.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.