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Finding the Fourth Proportional to 803.09, 1,107.19 and 637.85

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Solution

The fourth proportional to 803.09, 1,107.19 and 637.85 is: 879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.09 : 1,107.19 = 637.85 : x
  2. Step 2: Convert to fraction form
    803.09/1,107.19 = 637.85/x
  3. Step 3: Cross multiply
    803.09x = 1,107.19 × 637.85
  4. Step 4: Simplify right side
    803.09x = 706,221.14
  5. Step 5: Solve for x
    x = 706,221.14/803.09
  6. Step 6: Final answer
    x = 879.38

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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.