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Finding the Fourth Proportional to 577.68, 871.34 and 543.99

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Solution

The fourth proportional to 577.68, 871.34 and 543.99 is: 820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 871.34 = 543.99 : x
  2. Step 2: Convert to fraction form
    577.68/871.34 = 543.99/x
  3. Step 3: Cross multiply
    577.68x = 871.34 × 543.99
  4. Step 4: Simplify right side
    577.68x = 474,000.25
  5. Step 5: Solve for x
    x = 474,000.25/577.68
  6. Step 6: Final answer
    x = 820.52

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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.