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Finding the Fourth Proportional to 448.45, 669.65 and 422.82

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Solution

The fourth proportional to 448.45, 669.65 and 422.82 is: 631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 669.65 = 422.82 : x
  2. Step 2: Convert to fraction form
    448.45/669.65 = 422.82/x
  3. Step 3: Cross multiply
    448.45x = 669.65 × 422.82
  4. Step 4: Simplify right side
    448.45x = 283,143.46
  5. Step 5: Solve for x
    x = 283,143.46/448.45
  6. Step 6: Final answer
    x = 631.38

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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.