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Finding the Fourth Proportional to 423.46, 634.46 and 380.66

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Solution

The fourth proportional to 423.46, 634.46 and 380.66 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 634.46 = 380.66 : x
  2. Step 2: Convert to fraction form
    423.46/634.46 = 380.66/x
  3. Step 3: Cross multiply
    423.46x = 634.46 × 380.66
  4. Step 4: Simplify right side
    423.46x = 241,508.47
  5. Step 5: Solve for x
    x = 241,508.47/423.46
  6. Step 6: Final answer
    x = 570.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.