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Finding the Fourth Proportional to 986.41, 1,479.96 and 658.66

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Solution

The fourth proportional to 986.41, 1,479.96 and 658.66 is: 988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.41 : 1,479.96 = 658.66 : x
  2. Step 2: Convert to fraction form
    986.41/1,479.96 = 658.66/x
  3. Step 3: Cross multiply
    986.41x = 1,479.96 × 658.66
  4. Step 4: Simplify right side
    986.41x = 974,790.45
  5. Step 5: Solve for x
    x = 974,790.45/986.41
  6. Step 6: Final answer
    x = 988.22

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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.