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Finding the Fourth Proportional to 457.80, 682.77 and 409.20

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Solution

The fourth proportional to 457.80, 682.77 and 409.20 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 682.77 = 409.20 : x
  2. Step 2: Convert to fraction form
    457.80/682.77 = 409.20/x
  3. Step 3: Cross multiply
    457.80x = 682.77 × 409.20
  4. Step 4: Simplify right side
    457.80x = 279,389.48
  5. Step 5: Solve for x
    x = 279,389.48/457.80
  6. Step 6: Final answer
    x = 610.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.