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Finding the Fourth Proportional to 600.83, 899.17 and 549.56

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Solution

The fourth proportional to 600.83, 899.17 and 549.56 is: 822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.83 : 899.17 = 549.56 : x
  2. Step 2: Convert to fraction form
    600.83/899.17 = 549.56/x
  3. Step 3: Cross multiply
    600.83x = 899.17 × 549.56
  4. Step 4: Simplify right side
    600.83x = 494,147.87
  5. Step 5: Solve for x
    x = 494,147.87/600.83
  6. Step 6: Final answer
    x = 822.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.