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Finding the Fourth Proportional to 514.41, 771.72 and 189.78

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Solution

The fourth proportional to 514.41, 771.72 and 189.78 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 771.72 = 189.78 : x
  2. Step 2: Convert to fraction form
    514.41/771.72 = 189.78/x
  3. Step 3: Cross multiply
    514.41x = 771.72 × 189.78
  4. Step 4: Simplify right side
    514.41x = 146,457.02
  5. Step 5: Solve for x
    x = 146,457.02/514.41
  6. Step 6: Final answer
    x = 284.71

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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.