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Finding the Fourth Proportional to 440.83, 657.79 and 409.44

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Solution

The fourth proportional to 440.83, 657.79 and 409.44 is: 610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.83 : 657.79 = 409.44 : x
  2. Step 2: Convert to fraction form
    440.83/657.79 = 409.44/x
  3. Step 3: Cross multiply
    440.83x = 657.79 × 409.44
  4. Step 4: Simplify right side
    440.83x = 269,325.54
  5. Step 5: Solve for x
    x = 269,325.54/440.83
  6. Step 6: Final answer
    x = 610.95

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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.