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Finding the Fourth Proportional to 462.88, 693.42 and 381.52

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Solution

The fourth proportional to 462.88, 693.42 and 381.52 is: 571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 693.42 = 381.52 : x
  2. Step 2: Convert to fraction form
    462.88/693.42 = 381.52/x
  3. Step 3: Cross multiply
    462.88x = 693.42 × 381.52
  4. Step 4: Simplify right side
    462.88x = 264,553.60
  5. Step 5: Solve for x
    x = 264,553.60/462.88
  6. Step 6: Final answer
    x = 571.54

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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.