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Finding the Fourth Proportional to 620.72, 930.90 and 512.24

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Solution

The fourth proportional to 620.72, 930.90 and 512.24 is: 768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.72 : 930.90 = 512.24 : x
  2. Step 2: Convert to fraction form
    620.72/930.90 = 512.24/x
  3. Step 3: Cross multiply
    620.72x = 930.90 × 512.24
  4. Step 4: Simplify right side
    620.72x = 476,844.22
  5. Step 5: Solve for x
    x = 476,844.22/620.72
  6. Step 6: Final answer
    x = 768.21

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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.