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Finding the Fourth Proportional to 513.10, 769.66 and 147.89

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Solution

The fourth proportional to 513.10, 769.66 and 147.89 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.10 : 769.66 = 147.89 : x
  2. Step 2: Convert to fraction form
    513.10/769.66 = 147.89/x
  3. Step 3: Cross multiply
    513.10x = 769.66 × 147.89
  4. Step 4: Simplify right side
    513.10x = 113,826.57
  5. Step 5: Solve for x
    x = 113,826.57/513.10
  6. Step 6: Final answer
    x = 221.84

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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.