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Finding the Fourth Proportional to 573.93, 861.24 and 249.30

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Solution

The fourth proportional to 573.93, 861.24 and 249.30 is: 374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.93 : 861.24 = 249.30 : x
  2. Step 2: Convert to fraction form
    573.93/861.24 = 249.30/x
  3. Step 3: Cross multiply
    573.93x = 861.24 × 249.30
  4. Step 4: Simplify right side
    573.93x = 214,707.13
  5. Step 5: Solve for x
    x = 214,707.13/573.93
  6. Step 6: Final answer
    x = 374.10

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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.