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Finding the Fourth Proportional to 634.39, 874.50 and 447.35

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Solution

The fourth proportional to 634.39, 874.50 and 447.35 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.39 : 874.50 = 447.35 : x
  2. Step 2: Convert to fraction form
    634.39/874.50 = 447.35/x
  3. Step 3: Cross multiply
    634.39x = 874.50 × 447.35
  4. Step 4: Simplify right side
    634.39x = 391,207.58
  5. Step 5: Solve for x
    x = 391,207.58/634.39
  6. Step 6: Final answer
    x = 616.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.