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Finding the Fourth Proportional to 662.49, 992.65 and 337.41

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Solution

The fourth proportional to 662.49, 992.65 and 337.41 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.49 : 992.65 = 337.41 : x
  2. Step 2: Convert to fraction form
    662.49/992.65 = 337.41/x
  3. Step 3: Cross multiply
    662.49x = 992.65 × 337.41
  4. Step 4: Simplify right side
    662.49x = 334,926.71
  5. Step 5: Solve for x
    x = 334,926.71/662.49
  6. Step 6: Final answer
    x = 505.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.