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Finding the Fourth Proportional to 564.96, 847.50 and 199.78

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Solution

The fourth proportional to 564.96, 847.50 and 199.78 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 847.50 = 199.78 : x
  2. Step 2: Convert to fraction form
    564.96/847.50 = 199.78/x
  3. Step 3: Cross multiply
    564.96x = 847.50 × 199.78
  4. Step 4: Simplify right side
    564.96x = 169,313.55
  5. Step 5: Solve for x
    x = 169,313.55/564.96
  6. Step 6: Final answer
    x = 299.69

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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.