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Finding the Fourth Proportional to 448.08, 669.84 and 401.70

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Solution

The fourth proportional to 448.08, 669.84 and 401.70 is: 600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 669.84 = 401.70 : x
  2. Step 2: Convert to fraction form
    448.08/669.84 = 401.70/x
  3. Step 3: Cross multiply
    448.08x = 669.84 × 401.70
  4. Step 4: Simplify right side
    448.08x = 269,074.73
  5. Step 5: Solve for x
    x = 269,074.73/448.08
  6. Step 6: Final answer
    x = 600.51

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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.