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Finding the Fourth Proportional to 448.10, 671.34 and 438.38

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Solution

The fourth proportional to 448.10, 671.34 and 438.38 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.10 : 671.34 = 438.38 : x
  2. Step 2: Convert to fraction form
    448.10/671.34 = 438.38/x
  3. Step 3: Cross multiply
    448.10x = 671.34 × 438.38
  4. Step 4: Simplify right side
    448.10x = 294,300.37
  5. Step 5: Solve for x
    x = 294,300.37/448.10
  6. Step 6: Final answer
    x = 656.78

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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.