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Finding the Fourth Proportional to 448.71, 672.24 and 286.05

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Solution

The fourth proportional to 448.71, 672.24 and 286.05 is: 428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.71 : 672.24 = 286.05 : x
  2. Step 2: Convert to fraction form
    448.71/672.24 = 286.05/x
  3. Step 3: Cross multiply
    448.71x = 672.24 × 286.05
  4. Step 4: Simplify right side
    448.71x = 192,294.25
  5. Step 5: Solve for x
    x = 192,294.25/448.71
  6. Step 6: Final answer
    x = 428.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.