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Finding the Fourth Proportional to 604.54, 828.84 and 593.61

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Solution

The fourth proportional to 604.54, 828.84 and 593.61 is: 813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 828.84 = 593.61 : x
  2. Step 2: Convert to fraction form
    604.54/828.84 = 593.61/x
  3. Step 3: Cross multiply
    604.54x = 828.84 × 593.61
  4. Step 4: Simplify right side
    604.54x = 492,003.20
  5. Step 5: Solve for x
    x = 492,003.20/604.54
  6. Step 6: Final answer
    x = 813.84

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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.