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Finding the Fourth Proportional to 448.34, 668.25 and 431.73

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Solution

The fourth proportional to 448.34, 668.25 and 431.73 is: 643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.34 : 668.25 = 431.73 : x
  2. Step 2: Convert to fraction form
    448.34/668.25 = 431.73/x
  3. Step 3: Cross multiply
    448.34x = 668.25 × 431.73
  4. Step 4: Simplify right side
    448.34x = 288,503.57
  5. Step 5: Solve for x
    x = 288,503.57/448.34
  6. Step 6: Final answer
    x = 643.50

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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.