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Finding the Fourth Proportional to 658.11, 986.16 and 365.37

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Solution

The fourth proportional to 658.11, 986.16 and 365.37 is: 547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.11 : 986.16 = 365.37 : x
  2. Step 2: Convert to fraction form
    658.11/986.16 = 365.37/x
  3. Step 3: Cross multiply
    658.11x = 986.16 × 365.37
  4. Step 4: Simplify right side
    658.11x = 360,313.28
  5. Step 5: Solve for x
    x = 360,313.28/658.11
  6. Step 6: Final answer
    x = 547.50

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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.