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Finding the Fourth Proportional to 573.79, 861.03 and 208.61

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Solution

The fourth proportional to 573.79, 861.03 and 208.61 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.79 : 861.03 = 208.61 : x
  2. Step 2: Convert to fraction form
    573.79/861.03 = 208.61/x
  3. Step 3: Cross multiply
    573.79x = 861.03 × 208.61
  4. Step 4: Simplify right side
    573.79x = 179,616.79
  5. Step 5: Solve for x
    x = 179,616.79/573.79
  6. Step 6: Final answer
    x = 313.03

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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.