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Finding the Fourth Proportional to 382.57, 524.79 and 379.29

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Solution

The fourth proportional to 382.57, 524.79 and 379.29 is: 520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.57 : 524.79 = 379.29 : x
  2. Step 2: Convert to fraction form
    382.57/524.79 = 379.29/x
  3. Step 3: Cross multiply
    382.57x = 524.79 × 379.29
  4. Step 4: Simplify right side
    382.57x = 199,045.12
  5. Step 5: Solve for x
    x = 199,045.12/382.57
  6. Step 6: Final answer
    x = 520.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.