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Finding the Fourth Proportional to 986.87, 1,476.30 and 739.92

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Solution

The fourth proportional to 986.87, 1,476.30 and 739.92 is: 1,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.87 : 1,476.30 = 739.92 : x
  2. Step 2: Convert to fraction form
    986.87/1,476.30 = 739.92/x
  3. Step 3: Cross multiply
    986.87x = 1,476.30 × 739.92
  4. Step 4: Simplify right side
    986.87x = 1,092,343.90
  5. Step 5: Solve for x
    x = 1,092,343.90/986.87
  6. Step 6: Final answer
    x = 1,106.88

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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.