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Finding the Fourth Proportional to 577.87, 871.11 and 540.25

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Solution

The fourth proportional to 577.87, 871.11 and 540.25 is: 814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.87 : 871.11 = 540.25 : x
  2. Step 2: Convert to fraction form
    577.87/871.11 = 540.25/x
  3. Step 3: Cross multiply
    577.87x = 871.11 × 540.25
  4. Step 4: Simplify right side
    577.87x = 470,617.18
  5. Step 5: Solve for x
    x = 470,617.18/577.87
  6. Step 6: Final answer
    x = 814.40

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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.