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Finding the Fourth Proportional to 512.12, 769.10 and 297.07

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Solution

The fourth proportional to 512.12, 769.10 and 297.07 is: 446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 769.10 = 297.07 : x
  2. Step 2: Convert to fraction form
    512.12/769.10 = 297.07/x
  3. Step 3: Cross multiply
    512.12x = 769.10 × 297.07
  4. Step 4: Simplify right side
    512.12x = 228,473.13
  5. Step 5: Solve for x
    x = 228,473.13/512.12
  6. Step 6: Final answer
    x = 446.13

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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.