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Finding the Fourth Proportional to 448.92, 668.97 and 434.24

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Solution

The fourth proportional to 448.92, 668.97 and 434.24 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 668.97 = 434.24 : x
  2. Step 2: Convert to fraction form
    448.92/668.97 = 434.24/x
  3. Step 3: Cross multiply
    448.92x = 668.97 × 434.24
  4. Step 4: Simplify right side
    448.92x = 290,488.56
  5. Step 5: Solve for x
    x = 290,488.56/448.92
  6. Step 6: Final answer
    x = 647.09

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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.