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Finding the Fourth Proportional to 573.97, 860.73 and 208.63

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Solution

The fourth proportional to 573.97, 860.73 and 208.63 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.97 : 860.73 = 208.63 : x
  2. Step 2: Convert to fraction form
    573.97/860.73 = 208.63/x
  3. Step 3: Cross multiply
    573.97x = 860.73 × 208.63
  4. Step 4: Simplify right side
    573.97x = 179,574.10
  5. Step 5: Solve for x
    x = 179,574.10/573.97
  6. Step 6: Final answer
    x = 312.86

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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.