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Finding the Fourth Proportional to 458.35, 687.45 and 381.80

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Solution

The fourth proportional to 458.35, 687.45 and 381.80 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.35 : 687.45 = 381.80 : x
  2. Step 2: Convert to fraction form
    458.35/687.45 = 381.80/x
  3. Step 3: Cross multiply
    458.35x = 687.45 × 381.80
  4. Step 4: Simplify right side
    458.35x = 262,468.41
  5. Step 5: Solve for x
    x = 262,468.41/458.35
  6. Step 6: Final answer
    x = 572.64

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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.