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Finding the Fourth Proportional to 782.13, 1,072.35 and 768.36

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Solution

The fourth proportional to 782.13, 1,072.35 and 768.36 is: 1,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,072.35 = 768.36 : x
  2. Step 2: Convert to fraction form
    782.13/1,072.35 = 768.36/x
  3. Step 3: Cross multiply
    782.13x = 1,072.35 × 768.36
  4. Step 4: Simplify right side
    782.13x = 823,950.85
  5. Step 5: Solve for x
    x = 823,950.85/782.13
  6. Step 6: Final answer
    x = 1,053.47

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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.