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Finding the Fourth Proportional to 519, 715.24 and 353.22

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Solution

The fourth proportional to 519, 715.24 and 353.22 is: 486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 715.24 = 353.22 : x
  2. Step 2: Convert to fraction form
    519/715.24 = 353.22/x
  3. Step 3: Cross multiply
    519x = 715.24 × 353.22
  4. Step 4: Simplify right side
    519x = 252,637.07
  5. Step 5: Solve for x
    x = 252,637.07/519
  6. Step 6: Final answer
    x = 486.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.