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Finding the Fourth Proportional to 512.53, 767.39 and 402.26

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Solution

The fourth proportional to 512.53, 767.39 and 402.26 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.53 : 767.39 = 402.26 : x
  2. Step 2: Convert to fraction form
    512.53/767.39 = 402.26/x
  3. Step 3: Cross multiply
    512.53x = 767.39 × 402.26
  4. Step 4: Simplify right side
    512.53x = 308,684.45
  5. Step 5: Solve for x
    x = 308,684.45/512.53
  6. Step 6: Final answer
    x = 602.28

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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.