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Finding the Fourth Proportional to 512.60, 767.73 and 420.33

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Solution

The fourth proportional to 512.60, 767.73 and 420.33 is: 629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.60 : 767.73 = 420.33 : x
  2. Step 2: Convert to fraction form
    512.60/767.73 = 420.33/x
  3. Step 3: Cross multiply
    512.60x = 767.73 × 420.33
  4. Step 4: Simplify right side
    512.60x = 322,701.00
  5. Step 5: Solve for x
    x = 322,701.00/512.60
  6. Step 6: Final answer
    x = 629.54

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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.