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Finding the Fourth Proportional to 658.70, 986.83 and 334.29

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Solution

The fourth proportional to 658.70, 986.83 and 334.29 is: 500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.70 : 986.83 = 334.29 : x
  2. Step 2: Convert to fraction form
    658.70/986.83 = 334.29/x
  3. Step 3: Cross multiply
    658.70x = 986.83 × 334.29
  4. Step 4: Simplify right side
    658.70x = 329,886.56
  5. Step 5: Solve for x
    x = 329,886.56/658.70
  6. Step 6: Final answer
    x = 500.82

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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.