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Finding the Fourth Proportional to 573.89, 861.06 and 208.72

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Solution

The fourth proportional to 573.89, 861.06 and 208.72 is: 313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.89 : 861.06 = 208.72 : x
  2. Step 2: Convert to fraction form
    573.89/861.06 = 208.72/x
  3. Step 3: Cross multiply
    573.89x = 861.06 × 208.72
  4. Step 4: Simplify right side
    573.89x = 179,720.44
  5. Step 5: Solve for x
    x = 179,720.44/573.89
  6. Step 6: Final answer
    x = 313.16

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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.