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Finding the Fourth Proportional to 615.80, 849.71 and 367.12

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Solution

The fourth proportional to 615.80, 849.71 and 367.12 is: 506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.80 : 849.71 = 367.12 : x
  2. Step 2: Convert to fraction form
    615.80/849.71 = 367.12/x
  3. Step 3: Cross multiply
    615.80x = 849.71 × 367.12
  4. Step 4: Simplify right side
    615.80x = 311,945.54
  5. Step 5: Solve for x
    x = 311,945.54/615.80
  6. Step 6: Final answer
    x = 506.57

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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.