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Finding the Fourth Proportional to 448.59, 668.88 and 447.71

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Solution

The fourth proportional to 448.59, 668.88 and 447.71 is: 667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 668.88 = 447.71 : x
  2. Step 2: Convert to fraction form
    448.59/668.88 = 447.71/x
  3. Step 3: Cross multiply
    448.59x = 668.88 × 447.71
  4. Step 4: Simplify right side
    448.59x = 299,464.26
  5. Step 5: Solve for x
    x = 299,464.26/448.59
  6. Step 6: Final answer
    x = 667.57

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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.