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Finding the Fourth Proportional to 448.92, 674.64 and 438

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Solution

The fourth proportional to 448.92, 674.64 and 438 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 674.64 = 438 : x
  2. Step 2: Convert to fraction form
    448.92/674.64 = 438/x
  3. Step 3: Cross multiply
    448.92x = 674.64 × 438
  4. Step 4: Simplify right side
    448.92x = 295,492.32
  5. Step 5: Solve for x
    x = 295,492.32/448.92
  6. Step 6: Final answer
    x = 658.23

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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.