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Finding the Fourth Proportional to 577.42, 861.97 and 536.41

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Solution

The fourth proportional to 577.42, 861.97 and 536.41 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 861.97 = 536.41 : x
  2. Step 2: Convert to fraction form
    577.42/861.97 = 536.41/x
  3. Step 3: Cross multiply
    577.42x = 861.97 × 536.41
  4. Step 4: Simplify right side
    577.42x = 462,369.33
  5. Step 5: Solve for x
    x = 462,369.33/577.42
  6. Step 6: Final answer
    x = 800.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.