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Finding the Fourth Proportional to 448.73, 668.69 and 434.05

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Solution

The fourth proportional to 448.73, 668.69 and 434.05 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.73 : 668.69 = 434.05 : x
  2. Step 2: Convert to fraction form
    448.73/668.69 = 434.05/x
  3. Step 3: Cross multiply
    448.73x = 668.69 × 434.05
  4. Step 4: Simplify right side
    448.73x = 290,242.68
  5. Step 5: Solve for x
    x = 290,242.68/448.73
  6. Step 6: Final answer
    x = 646.81

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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.