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Finding the Fourth Proportional to 467.69, 701.61 and 381.78

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Solution

The fourth proportional to 467.69, 701.61 and 381.78 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.69 : 701.61 = 381.78 : x
  2. Step 2: Convert to fraction form
    467.69/701.61 = 381.78/x
  3. Step 3: Cross multiply
    467.69x = 701.61 × 381.78
  4. Step 4: Simplify right side
    467.69x = 267,860.67
  5. Step 5: Solve for x
    x = 267,860.67/467.69
  6. Step 6: Final answer
    x = 572.74

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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.