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Finding the Fourth Proportional to 600.24, 820.71 and 577.56

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Solution

The fourth proportional to 600.24, 820.71 and 577.56 is: 789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 820.71 = 577.56 : x
  2. Step 2: Convert to fraction form
    600.24/820.71 = 577.56/x
  3. Step 3: Cross multiply
    600.24x = 820.71 × 577.56
  4. Step 4: Simplify right side
    600.24x = 474,009.27
  5. Step 5: Solve for x
    x = 474,009.27/600.24
  6. Step 6: Final answer
    x = 789.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.