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Finding the Fourth Proportional to 577.26, 861.08 and 522.54

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Solution

The fourth proportional to 577.26, 861.08 and 522.54 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.26 : 861.08 = 522.54 : x
  2. Step 2: Convert to fraction form
    577.26/861.08 = 522.54/x
  3. Step 3: Cross multiply
    577.26x = 861.08 × 522.54
  4. Step 4: Simplify right side
    577.26x = 449,946.13
  5. Step 5: Solve for x
    x = 449,946.13/577.26
  6. Step 6: Final answer
    x = 779.45

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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.