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Finding the Fourth Proportional to 512.51, 769.13 and 281.57

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Solution

The fourth proportional to 512.51, 769.13 and 281.57 is: 422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.51 : 769.13 = 281.57 : x
  2. Step 2: Convert to fraction form
    512.51/769.13 = 281.57/x
  3. Step 3: Cross multiply
    512.51x = 769.13 × 281.57
  4. Step 4: Simplify right side
    512.51x = 216,563.93
  5. Step 5: Solve for x
    x = 216,563.93/512.51
  6. Step 6: Final answer
    x = 422.56

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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.