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Finding the Fourth Proportional to 499.20, 688.74 and 359.34

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Solution

The fourth proportional to 499.20, 688.74 and 359.34 is: 495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 688.74 = 359.34 : x
  2. Step 2: Convert to fraction form
    499.20/688.74 = 359.34/x
  3. Step 3: Cross multiply
    499.20x = 688.74 × 359.34
  4. Step 4: Simplify right side
    499.20x = 247,491.83
  5. Step 5: Solve for x
    x = 247,491.83/499.20
  6. Step 6: Final answer
    x = 495.78

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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.