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Finding the Fourth Proportional to 767.43, 1,057.20 and 634.10

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Solution

The fourth proportional to 767.43, 1,057.20 and 634.10 is: 873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.43 : 1,057.20 = 634.10 : x
  2. Step 2: Convert to fraction form
    767.43/1,057.20 = 634.10/x
  3. Step 3: Cross multiply
    767.43x = 1,057.20 × 634.10
  4. Step 4: Simplify right side
    767.43x = 670,365.23
  5. Step 5: Solve for x
    x = 670,365.23/767.43
  6. Step 6: Final answer
    x = 873.52

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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.