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Finding the Fourth Proportional to 897.67, 1,239.77 and 799.26

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Solution

The fourth proportional to 897.67, 1,239.77 and 799.26 is: 1,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.67 : 1,239.77 = 799.26 : x
  2. Step 2: Convert to fraction form
    897.67/1,239.77 = 799.26/x
  3. Step 3: Cross multiply
    897.67x = 1,239.77 × 799.26
  4. Step 4: Simplify right side
    897.67x = 990,898.57
  5. Step 5: Solve for x
    x = 990,898.57/897.67
  6. Step 6: Final answer
    x = 1,103.86

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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.