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Finding the Fourth Proportional to 986.43, 1,477.34 and 779.61

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Solution

The fourth proportional to 986.43, 1,477.34 and 779.61 is: 1,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.43 : 1,477.34 = 779.61 : x
  2. Step 2: Convert to fraction form
    986.43/1,477.34 = 779.61/x
  3. Step 3: Cross multiply
    986.43x = 1,477.34 × 779.61
  4. Step 4: Simplify right side
    986.43x = 1,151,749.04
  5. Step 5: Solve for x
    x = 1,151,749.04/986.43
  6. Step 6: Final answer
    x = 1,167.59

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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.