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Finding the Fourth Proportional to 577.22, 861.84 and 571.68

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Solution

The fourth proportional to 577.22, 861.84 and 571.68 is: 853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 861.84 = 571.68 : x
  2. Step 2: Convert to fraction form
    577.22/861.84 = 571.68/x
  3. Step 3: Cross multiply
    577.22x = 861.84 × 571.68
  4. Step 4: Simplify right side
    577.22x = 492,696.69
  5. Step 5: Solve for x
    x = 492,696.69/577.22
  6. Step 6: Final answer
    x = 853.58

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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.