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Finding the Fourth Proportional to 600.80, 902.24 and 409.60

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Solution

The fourth proportional to 600.80, 902.24 and 409.60 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 902.24 = 409.60 : x
  2. Step 2: Convert to fraction form
    600.80/902.24 = 409.60/x
  3. Step 3: Cross multiply
    600.80x = 902.24 × 409.60
  4. Step 4: Simplify right side
    600.80x = 369,557.50
  5. Step 5: Solve for x
    x = 369,557.50/600.80
  6. Step 6: Final answer
    x = 615.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.