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Finding the Fourth Proportional to 803.05, 1,105.63 and 625.80

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Solution

The fourth proportional to 803.05, 1,105.63 and 625.80 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.05 : 1,105.63 = 625.80 : x
  2. Step 2: Convert to fraction form
    803.05/1,105.63 = 625.80/x
  3. Step 3: Cross multiply
    803.05x = 1,105.63 × 625.80
  4. Step 4: Simplify right side
    803.05x = 691,903.25
  5. Step 5: Solve for x
    x = 691,903.25/803.05
  6. Step 6: Final answer
    x = 861.59

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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.