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Finding the Fourth Proportional to 476.67, 715.41 and 381.09

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Solution

The fourth proportional to 476.67, 715.41 and 381.09 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.67 : 715.41 = 381.09 : x
  2. Step 2: Convert to fraction form
    476.67/715.41 = 381.09/x
  3. Step 3: Cross multiply
    476.67x = 715.41 × 381.09
  4. Step 4: Simplify right side
    476.67x = 272,635.60
  5. Step 5: Solve for x
    x = 272,635.60/476.67
  6. Step 6: Final answer
    x = 571.96

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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.