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Finding the Fourth Proportional to 573.89, 860.90 and 208.71

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Solution

The fourth proportional to 573.89, 860.90 and 208.71 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.89 : 860.90 = 208.71 : x
  2. Step 2: Convert to fraction form
    573.89/860.90 = 208.71/x
  3. Step 3: Cross multiply
    573.89x = 860.90 × 208.71
  4. Step 4: Simplify right side
    573.89x = 179,677.40
  5. Step 5: Solve for x
    x = 179,677.40/573.89
  6. Step 6: Final answer
    x = 313.09

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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.