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Finding the Fourth Proportional to 783.26, 1,076.48 and 761.39

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Solution

The fourth proportional to 783.26, 1,076.48 and 761.39 is: 1,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,076.48 = 761.39 : x
  2. Step 2: Convert to fraction form
    783.26/1,076.48 = 761.39/x
  3. Step 3: Cross multiply
    783.26x = 1,076.48 × 761.39
  4. Step 4: Simplify right side
    783.26x = 819,611.92
  5. Step 5: Solve for x
    x = 819,611.92/783.26
  6. Step 6: Final answer
    x = 1,046.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.