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Finding the Fourth Proportional to 423.62, 633.51 and 378.62

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Solution

The fourth proportional to 423.62, 633.51 and 378.62 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.62 : 633.51 = 378.62 : x
  2. Step 2: Convert to fraction form
    423.62/633.51 = 378.62/x
  3. Step 3: Cross multiply
    423.62x = 633.51 × 378.62
  4. Step 4: Simplify right side
    423.62x = 239,859.56
  5. Step 5: Solve for x
    x = 239,859.56/423.62
  6. Step 6: Final answer
    x = 566.21

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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.