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Finding the Fourth Proportional to 776.36, 1,165.04 and 713.78

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Solution

The fourth proportional to 776.36, 1,165.04 and 713.78 is: 1,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.36 : 1,165.04 = 713.78 : x
  2. Step 2: Convert to fraction form
    776.36/1,165.04 = 713.78/x
  3. Step 3: Cross multiply
    776.36x = 1,165.04 × 713.78
  4. Step 4: Simplify right side
    776.36x = 831,578.68
  5. Step 5: Solve for x
    x = 831,578.68/776.36
  6. Step 6: Final answer
    x = 1,071.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.