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Finding the Fourth Proportional to 448.28, 668.52 and 398.49

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Solution

The fourth proportional to 448.28, 668.52 and 398.49 is: 594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.28 : 668.52 = 398.49 : x
  2. Step 2: Convert to fraction form
    448.28/668.52 = 398.49/x
  3. Step 3: Cross multiply
    448.28x = 668.52 × 398.49
  4. Step 4: Simplify right side
    448.28x = 266,399.79
  5. Step 5: Solve for x
    x = 266,399.79/448.28
  6. Step 6: Final answer
    x = 594.27

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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.