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Finding the Fourth Proportional to 776.39, 1,076.03 and 761.81

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Solution

The fourth proportional to 776.39, 1,076.03 and 761.81 is: 1,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.39 : 1,076.03 = 761.81 : x
  2. Step 2: Convert to fraction form
    776.39/1,076.03 = 761.81/x
  3. Step 3: Cross multiply
    776.39x = 1,076.03 × 761.81
  4. Step 4: Simplify right side
    776.39x = 819,730.97
  5. Step 5: Solve for x
    x = 819,730.97/776.39
  6. Step 6: Final answer
    x = 1,055.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.