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Finding the Fourth Proportional to 514.32, 771.75 and 189.78

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Solution

The fourth proportional to 514.32, 771.75 and 189.78 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.32 : 771.75 = 189.78 : x
  2. Step 2: Convert to fraction form
    514.32/771.75 = 189.78/x
  3. Step 3: Cross multiply
    514.32x = 771.75 × 189.78
  4. Step 4: Simplify right side
    514.32x = 146,462.72
  5. Step 5: Solve for x
    x = 146,462.72/514.32
  6. Step 6: Final answer
    x = 284.77

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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.