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Finding the Fourth Proportional to 658.47, 986.78 and 350.47

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Solution

The fourth proportional to 658.47, 986.78 and 350.47 is: 525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.47 : 986.78 = 350.47 : x
  2. Step 2: Convert to fraction form
    658.47/986.78 = 350.47/x
  3. Step 3: Cross multiply
    658.47x = 986.78 × 350.47
  4. Step 4: Simplify right side
    658.47x = 345,836.79
  5. Step 5: Solve for x
    x = 345,836.79/658.47
  6. Step 6: Final answer
    x = 525.21

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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.