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Finding the Fourth Proportional to 440.94, 657.99 and 382.62

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Solution

The fourth proportional to 440.94, 657.99 and 382.62 is: 570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 657.99 = 382.62 : x
  2. Step 2: Convert to fraction form
    440.94/657.99 = 382.62/x
  3. Step 3: Cross multiply
    440.94x = 657.99 × 382.62
  4. Step 4: Simplify right side
    440.94x = 251,760.13
  5. Step 5: Solve for x
    x = 251,760.13/440.94
  6. Step 6: Final answer
    x = 570.96

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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.