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Finding the Fourth Proportional to 440.56, 606.10 and 409.82

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Solution

The fourth proportional to 440.56, 606.10 and 409.82 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.56 : 606.10 = 409.82 : x
  2. Step 2: Convert to fraction form
    440.56/606.10 = 409.82/x
  3. Step 3: Cross multiply
    440.56x = 606.10 × 409.82
  4. Step 4: Simplify right side
    440.56x = 248,391.90
  5. Step 5: Solve for x
    x = 248,391.90/440.56
  6. Step 6: Final answer
    x = 563.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.