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Finding the Fourth Proportional to 573.79, 860.16 and 208.49

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Solution

The fourth proportional to 573.79, 860.16 and 208.49 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.79 : 860.16 = 208.49 : x
  2. Step 2: Convert to fraction form
    573.79/860.16 = 208.49/x
  3. Step 3: Cross multiply
    573.79x = 860.16 × 208.49
  4. Step 4: Simplify right side
    573.79x = 179,333.72
  5. Step 5: Solve for x
    x = 179,333.72/573.79
  6. Step 6: Final answer
    x = 312.55

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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.