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Finding the Fourth Proportional to 1,014.09, 1,399.35 and 571.98

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Solution

The fourth proportional to 1,014.09, 1,399.35 and 571.98 is: 789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.09 : 1,399.35 = 571.98 : x
  2. Step 2: Convert to fraction form
    1,014.09/1,399.35 = 571.98/x
  3. Step 3: Cross multiply
    1,014.09x = 1,399.35 × 571.98
  4. Step 4: Simplify right side
    1,014.09x = 800,400.21
  5. Step 5: Solve for x
    x = 800,400.21/1,014.09
  6. Step 6: Final answer
    x = 789.28

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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.