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Finding the Fourth Proportional to 986.74, 1,480.44 and 439.30

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Solution

The fourth proportional to 986.74, 1,480.44 and 439.30 is: 659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.74 : 1,480.44 = 439.30 : x
  2. Step 2: Convert to fraction form
    986.74/1,480.44 = 439.30/x
  3. Step 3: Cross multiply
    986.74x = 1,480.44 × 439.30
  4. Step 4: Simplify right side
    986.74x = 650,357.29
  5. Step 5: Solve for x
    x = 650,357.29/986.74
  6. Step 6: Final answer
    x = 659.10

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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.