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Finding the Fourth Proportional to 658.35, 986.00 and 333.99

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Solution

The fourth proportional to 658.35, 986.00 and 333.99 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.35 : 986.00 = 333.99 : x
  2. Step 2: Convert to fraction form
    658.35/986.00 = 333.99/x
  3. Step 3: Cross multiply
    658.35x = 986.00 × 333.99
  4. Step 4: Simplify right side
    658.35x = 329,312.47
  5. Step 5: Solve for x
    x = 329,312.47/658.35
  6. Step 6: Final answer
    x = 500.21

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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.