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Finding the Fourth Proportional to 519.92, 718.20 and 354.80

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Solution

The fourth proportional to 519.92, 718.20 and 354.80 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.92 : 718.20 = 354.80 : x
  2. Step 2: Convert to fraction form
    519.92/718.20 = 354.80/x
  3. Step 3: Cross multiply
    519.92x = 718.20 × 354.80
  4. Step 4: Simplify right side
    519.92x = 254,817.36
  5. Step 5: Solve for x
    x = 254,817.36/519.92
  6. Step 6: Final answer
    x = 490.11

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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.