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Finding the Fourth Proportional to 800.01, 1,200.15 and 786.87

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Solution

The fourth proportional to 800.01, 1,200.15 and 786.87 is: 1,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.01 : 1,200.15 = 786.87 : x
  2. Step 2: Convert to fraction form
    800.01/1,200.15 = 786.87/x
  3. Step 3: Cross multiply
    800.01x = 1,200.15 × 786.87
  4. Step 4: Simplify right side
    800.01x = 944,362.03
  5. Step 5: Solve for x
    x = 944,362.03/800.01
  6. Step 6: Final answer
    x = 1,180.44

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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.