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Finding the Fourth Proportional to 577.21, 797.51 and 571.44

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Solution

The fourth proportional to 577.21, 797.51 and 571.44 is: 789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.21 : 797.51 = 571.44 : x
  2. Step 2: Convert to fraction form
    577.21/797.51 = 571.44/x
  3. Step 3: Cross multiply
    577.21x = 797.51 × 571.44
  4. Step 4: Simplify right side
    577.21x = 455,729.11
  5. Step 5: Solve for x
    x = 455,729.11/577.21
  6. Step 6: Final answer
    x = 789.54

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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.