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Finding the Fourth Proportional to 986.64, 1,481.58 and 742.29

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Solution

The fourth proportional to 986.64, 1,481.58 and 742.29 is: 1,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.64 : 1,481.58 = 742.29 : x
  2. Step 2: Convert to fraction form
    986.64/1,481.58 = 742.29/x
  3. Step 3: Cross multiply
    986.64x = 1,481.58 × 742.29
  4. Step 4: Simplify right side
    986.64x = 1,099,762.02
  5. Step 5: Solve for x
    x = 1,099,762.02/986.64
  6. Step 6: Final answer
    x = 1,114.65

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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.