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Finding the Fourth Proportional to 801.05, 1,102.87 and 623.80

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Solution

The fourth proportional to 801.05, 1,102.87 and 623.80 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.05 : 1,102.87 = 623.80 : x
  2. Step 2: Convert to fraction form
    801.05/1,102.87 = 623.80/x
  3. Step 3: Cross multiply
    801.05x = 1,102.87 × 623.80
  4. Step 4: Simplify right side
    801.05x = 687,970.31
  5. Step 5: Solve for x
    x = 687,970.31/801.05
  6. Step 6: Final answer
    x = 858.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.