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Finding the Fourth Proportional to 849.20, 1,272.96 and 409.64

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Solution

The fourth proportional to 849.20, 1,272.96 and 409.64 is: 614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.20 : 1,272.96 = 409.64 : x
  2. Step 2: Convert to fraction form
    849.20/1,272.96 = 409.64/x
  3. Step 3: Cross multiply
    849.20x = 1,272.96 × 409.64
  4. Step 4: Simplify right side
    849.20x = 521,455.33
  5. Step 5: Solve for x
    x = 521,455.33/849.20
  6. Step 6: Final answer
    x = 614.05

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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.