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Finding the Fourth Proportional to 767.73, 1,059.83 and 452.90

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Solution

The fourth proportional to 767.73, 1,059.83 and 452.90 is: 625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.73 : 1,059.83 = 452.90 : x
  2. Step 2: Convert to fraction form
    767.73/1,059.83 = 452.90/x
  3. Step 3: Cross multiply
    767.73x = 1,059.83 × 452.90
  4. Step 4: Simplify right side
    767.73x = 479,997.01
  5. Step 5: Solve for x
    x = 479,997.01/767.73
  6. Step 6: Final answer
    x = 625.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.