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Finding the Fourth Proportional to 448.16, 671.97 and 409.97

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Solution

The fourth proportional to 448.16, 671.97 and 409.97 is: 614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 671.97 = 409.97 : x
  2. Step 2: Convert to fraction form
    448.16/671.97 = 409.97/x
  3. Step 3: Cross multiply
    448.16x = 671.97 × 409.97
  4. Step 4: Simplify right side
    448.16x = 275,484.18
  5. Step 5: Solve for x
    x = 275,484.18/448.16
  6. Step 6: Final answer
    x = 614.70

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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.