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Finding the Fourth Proportional to 658.24, 986.40 and 333.12

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Solution

The fourth proportional to 658.24, 986.40 and 333.12 is: 499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.24 : 986.40 = 333.12 : x
  2. Step 2: Convert to fraction form
    658.24/986.40 = 333.12/x
  3. Step 3: Cross multiply
    658.24x = 986.40 × 333.12
  4. Step 4: Simplify right side
    658.24x = 328,589.57
  5. Step 5: Solve for x
    x = 328,589.57/658.24
  6. Step 6: Final answer
    x = 499.19

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1.5x scale

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.