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Finding the Fourth Proportional to 448.71, 673.07 and 438.46

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Solution

The fourth proportional to 448.71, 673.07 and 438.46 is: 657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.71 : 673.07 = 438.46 : x
  2. Step 2: Convert to fraction form
    448.71/673.07 = 438.46/x
  3. Step 3: Cross multiply
    448.71x = 673.07 × 438.46
  4. Step 4: Simplify right side
    448.71x = 295,114.27
  5. Step 5: Solve for x
    x = 295,114.27/448.71
  6. Step 6: Final answer
    x = 657.69

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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.