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Finding the Fourth Proportional to 986.33, 1,479.85 and 438.47

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Solution

The fourth proportional to 986.33, 1,479.85 and 438.47 is: 657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.33 : 1,479.85 = 438.47 : x
  2. Step 2: Convert to fraction form
    986.33/1,479.85 = 438.47/x
  3. Step 3: Cross multiply
    986.33x = 1,479.85 × 438.47
  4. Step 4: Simplify right side
    986.33x = 648,861.33
  5. Step 5: Solve for x
    x = 648,861.33/986.33
  6. Step 6: Final answer
    x = 657.85

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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.