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Finding the Fourth Proportional to 447.66, 667.58 and 429.44

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Solution

The fourth proportional to 447.66, 667.58 and 429.44 is: 640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 667.58 = 429.44 : x
  2. Step 2: Convert to fraction form
    447.66/667.58 = 429.44/x
  3. Step 3: Cross multiply
    447.66x = 667.58 × 429.44
  4. Step 4: Simplify right side
    447.66x = 286,680.07
  5. Step 5: Solve for x
    x = 286,680.07/447.66
  6. Step 6: Final answer
    x = 640.40

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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.