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Finding the Fourth Proportional to 574.01, 860.75 and 208.55

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Solution

The fourth proportional to 574.01, 860.75 and 208.55 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.01 : 860.75 = 208.55 : x
  2. Step 2: Convert to fraction form
    574.01/860.75 = 208.55/x
  3. Step 3: Cross multiply
    574.01x = 860.75 × 208.55
  4. Step 4: Simplify right side
    574.01x = 179,504.07
  5. Step 5: Solve for x
    x = 179,504.07/574.01
  6. Step 6: Final answer
    x = 312.72

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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.