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Finding the Fourth Proportional to 440.12, 606.84 and 377.84

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Solution

The fourth proportional to 440.12, 606.84 and 377.84 is: 520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.12 : 606.84 = 377.84 : x
  2. Step 2: Convert to fraction form
    440.12/606.84 = 377.84/x
  3. Step 3: Cross multiply
    440.12x = 606.84 × 377.84
  4. Step 4: Simplify right side
    440.12x = 229,288.43
  5. Step 5: Solve for x
    x = 229,288.43/440.12
  6. Step 6: Final answer
    x = 520.97

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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.