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Finding the Fourth Proportional to 448.37, 668.78 and 434.70

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Solution

The fourth proportional to 448.37, 668.78 and 434.70 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.37 : 668.78 = 434.70 : x
  2. Step 2: Convert to fraction form
    448.37/668.78 = 434.70/x
  3. Step 3: Cross multiply
    448.37x = 668.78 × 434.70
  4. Step 4: Simplify right side
    448.37x = 290,716.49
  5. Step 5: Solve for x
    x = 290,716.49/448.37
  6. Step 6: Final answer
    x = 648.39

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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.