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Finding the Fourth Proportional to 577.29, 869.01 and 517.75

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Solution

The fourth proportional to 577.29, 869.01 and 517.75 is: 779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.29 : 869.01 = 517.75 : x
  2. Step 2: Convert to fraction form
    577.29/869.01 = 517.75/x
  3. Step 3: Cross multiply
    577.29x = 869.01 × 517.75
  4. Step 4: Simplify right side
    577.29x = 449,929.93
  5. Step 5: Solve for x
    x = 449,929.93/577.29
  6. Step 6: Final answer
    x = 779.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.