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Finding the Fourth Proportional to 598.56, 897.90 and 208.55

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Solution

The fourth proportional to 598.56, 897.90 and 208.55 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 897.90 = 208.55 : x
  2. Step 2: Convert to fraction form
    598.56/897.90 = 208.55/x
  3. Step 3: Cross multiply
    598.56x = 897.90 × 208.55
  4. Step 4: Simplify right side
    598.56x = 187,257.05
  5. Step 5: Solve for x
    x = 187,257.05/598.56
  6. Step 6: Final answer
    x = 312.85

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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.