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Finding the Fourth Proportional to 1,039.14, 1,434 and 573.39

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Solution

The fourth proportional to 1,039.14, 1,434 and 573.39 is: 791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.14 : 1,434 = 573.39 : x
  2. Step 2: Convert to fraction form
    1,039.14/1,434 = 573.39/x
  3. Step 3: Cross multiply
    1,039.14x = 1,434 × 573.39
  4. Step 4: Simplify right side
    1,039.14x = 822,241.26
  5. Step 5: Solve for x
    x = 822,241.26/1,039.14
  6. Step 6: Final answer
    x = 791.27

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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.