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Finding the Fourth Proportional to 440.74, 657.23 and 409.96

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Solution

The fourth proportional to 440.74, 657.23 and 409.96 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.74 : 657.23 = 409.96 : x
  2. Step 2: Convert to fraction form
    440.74/657.23 = 409.96/x
  3. Step 3: Cross multiply
    440.74x = 657.23 × 409.96
  4. Step 4: Simplify right side
    440.74x = 269,438.01
  5. Step 5: Solve for x
    x = 269,438.01/440.74
  6. Step 6: Final answer
    x = 611.33

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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.