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Finding the Fourth Proportional to 577.41, 791.28 and 522.06

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Solution

The fourth proportional to 577.41, 791.28 and 522.06 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 791.28 = 522.06 : x
  2. Step 2: Convert to fraction form
    577.41/791.28 = 522.06/x
  3. Step 3: Cross multiply
    577.41x = 791.28 × 522.06
  4. Step 4: Simplify right side
    577.41x = 413,095.64
  5. Step 5: Solve for x
    x = 413,095.64/577.41
  6. Step 6: Final answer
    x = 715.43

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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.