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Finding the Fourth Proportional to 801.01, 1,201.65 and 787.87

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Solution

The fourth proportional to 801.01, 1,201.65 and 787.87 is: 1,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.01 : 1,201.65 = 787.87 : x
  2. Step 2: Convert to fraction form
    801.01/1,201.65 = 787.87/x
  3. Step 3: Cross multiply
    801.01x = 1,201.65 × 787.87
  4. Step 4: Simplify right side
    801.01x = 946,743.99
  5. Step 5: Solve for x
    x = 946,743.99/801.01
  6. Step 6: Final answer
    x = 1,181.94

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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.