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Finding the Fourth Proportional to 776.39, 1,071.02 and 577.43

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Solution

The fourth proportional to 776.39, 1,071.02 and 577.43 is: 796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.39 : 1,071.02 = 577.43 : x
  2. Step 2: Convert to fraction form
    776.39/1,071.02 = 577.43/x
  3. Step 3: Cross multiply
    776.39x = 1,071.02 × 577.43
  4. Step 4: Simplify right side
    776.39x = 618,439.18
  5. Step 5: Solve for x
    x = 618,439.18/776.39
  6. Step 6: Final answer
    x = 796.56

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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.