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Finding the Fourth Proportional to 499.20, 685.80 and 411.60

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Solution

The fourth proportional to 499.20, 685.80 and 411.60 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 685.80 = 411.60 : x
  2. Step 2: Convert to fraction form
    499.20/685.80 = 411.60/x
  3. Step 3: Cross multiply
    499.20x = 685.80 × 411.60
  4. Step 4: Simplify right side
    499.20x = 282,275.28
  5. Step 5: Solve for x
    x = 282,275.28/499.20
  6. Step 6: Final answer
    x = 565.46

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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.