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Finding the Fourth Proportional to 986.92, 1,481.03 and 525.03

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Solution

The fourth proportional to 986.92, 1,481.03 and 525.03 is: 787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.92 : 1,481.03 = 525.03 : x
  2. Step 2: Convert to fraction form
    986.92/1,481.03 = 525.03/x
  3. Step 3: Cross multiply
    986.92x = 1,481.03 × 525.03
  4. Step 4: Simplify right side
    986.92x = 777,585.18
  5. Step 5: Solve for x
    x = 777,585.18/986.92
  6. Step 6: Final answer
    x = 787.89

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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.