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Finding the Fourth Proportional to 619.56, 930.12 and 512.64

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Solution

The fourth proportional to 619.56, 930.12 and 512.64 is: 769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.56 : 930.12 = 512.64 : x
  2. Step 2: Convert to fraction form
    619.56/930.12 = 512.64/x
  3. Step 3: Cross multiply
    619.56x = 930.12 × 512.64
  4. Step 4: Simplify right side
    619.56x = 476,816.72
  5. Step 5: Solve for x
    x = 476,816.72/619.56
  6. Step 6: Final answer
    x = 769.61

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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.