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Finding the Fourth Proportional to 577.80, 791.91 and 571.32

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Solution

The fourth proportional to 577.80, 791.91 and 571.32 is: 783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 791.91 = 571.32 : x
  2. Step 2: Convert to fraction form
    577.80/791.91 = 571.32/x
  3. Step 3: Cross multiply
    577.80x = 791.91 × 571.32
  4. Step 4: Simplify right side
    577.80x = 452,434.02
  5. Step 5: Solve for x
    x = 452,434.02/577.80
  6. Step 6: Final answer
    x = 783.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.