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Finding the Fourth Proportional to 615.80, 849.84 and 367.14

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Solution

The fourth proportional to 615.80, 849.84 and 367.14 is: 506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.80 : 849.84 = 367.14 : x
  2. Step 2: Convert to fraction form
    615.80/849.84 = 367.14/x
  3. Step 3: Cross multiply
    615.80x = 849.84 × 367.14
  4. Step 4: Simplify right side
    615.80x = 312,010.26
  5. Step 5: Solve for x
    x = 312,010.26/615.80
  6. Step 6: Final answer
    x = 506.67

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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.