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Finding the Fourth Proportional to 519.72, 716.61 and 353.63

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Solution

The fourth proportional to 519.72, 716.61 and 353.63 is: 487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 716.61 = 353.63 : x
  2. Step 2: Convert to fraction form
    519.72/716.61 = 353.63/x
  3. Step 3: Cross multiply
    519.72x = 716.61 × 353.63
  4. Step 4: Simplify right side
    519.72x = 253,417.91
  5. Step 5: Solve for x
    x = 253,417.91/519.72
  6. Step 6: Final answer
    x = 487.61

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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.