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Finding the Fourth Proportional to 611.49, 843.98 and 362.95

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Solution

The fourth proportional to 611.49, 843.98 and 362.95 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 843.98 = 362.95 : x
  2. Step 2: Convert to fraction form
    611.49/843.98 = 362.95/x
  3. Step 3: Cross multiply
    611.49x = 843.98 × 362.95
  4. Step 4: Simplify right side
    611.49x = 306,321.34
  5. Step 5: Solve for x
    x = 306,321.34/611.49
  6. Step 6: Final answer
    x = 500.94

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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.