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Finding the Fourth Proportional to 615.18, 849.14 and 490.80

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Solution

The fourth proportional to 615.18, 849.14 and 490.80 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.18 : 849.14 = 490.80 : x
  2. Step 2: Convert to fraction form
    615.18/849.14 = 490.80/x
  3. Step 3: Cross multiply
    615.18x = 849.14 × 490.80
  4. Step 4: Simplify right side
    615.18x = 416,755.46
  5. Step 5: Solve for x
    x = 416,755.46/615.18
  6. Step 6: Final answer
    x = 677.45

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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.