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Finding the Fourth Proportional to 513.52, 769.98 and 296.98

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Solution

The fourth proportional to 513.52, 769.98 and 296.98 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.52 : 769.98 = 296.98 : x
  2. Step 2: Convert to fraction form
    513.52/769.98 = 296.98/x
  3. Step 3: Cross multiply
    513.52x = 769.98 × 296.98
  4. Step 4: Simplify right side
    513.52x = 228,668.66
  5. Step 5: Solve for x
    x = 228,668.66/513.52
  6. Step 6: Final answer
    x = 445.30

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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.