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Finding the Fourth Proportional to 766.56, 1,057.71 and 447.39

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Solution

The fourth proportional to 766.56, 1,057.71 and 447.39 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.56 : 1,057.71 = 447.39 : x
  2. Step 2: Convert to fraction form
    766.56/1,057.71 = 447.39/x
  3. Step 3: Cross multiply
    766.56x = 1,057.71 × 447.39
  4. Step 4: Simplify right side
    766.56x = 473,208.88
  5. Step 5: Solve for x
    x = 473,208.88/766.56
  6. Step 6: Final answer
    x = 617.31

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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.