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Finding the Fourth Proportional to 509.92, 699.50 and 496.40

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Solution

The fourth proportional to 509.92, 699.50 and 496.40 is: 680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 699.50 = 496.40 : x
  2. Step 2: Convert to fraction form
    509.92/699.50 = 496.40/x
  3. Step 3: Cross multiply
    509.92x = 699.50 × 496.40
  4. Step 4: Simplify right side
    509.92x = 347,231.80
  5. Step 5: Solve for x
    x = 347,231.80/509.92
  6. Step 6: Final answer
    x = 680.95

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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.