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Finding the Fourth Proportional to 514.56, 772.12 and 512.94

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Solution

The fourth proportional to 514.56, 772.12 and 512.94 is: 769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 772.12 = 512.94 : x
  2. Step 2: Convert to fraction form
    514.56/772.12 = 512.94/x
  3. Step 3: Cross multiply
    514.56x = 772.12 × 512.94
  4. Step 4: Simplify right side
    514.56x = 396,051.23
  5. Step 5: Solve for x
    x = 396,051.23/514.56
  6. Step 6: Final answer
    x = 769.69

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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.