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Finding the Fourth Proportional to 448.59, 667.95 and 443.69

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Solution

The fourth proportional to 448.59, 667.95 and 443.69 is: 660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 667.95 = 443.69 : x
  2. Step 2: Convert to fraction form
    448.59/667.95 = 443.69/x
  3. Step 3: Cross multiply
    448.59x = 667.95 × 443.69
  4. Step 4: Simplify right side
    448.59x = 296,362.74
  5. Step 5: Solve for x
    x = 296,362.74/448.59
  6. Step 6: Final answer
    x = 660.65

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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.