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Finding the Fourth Proportional to 795.80, 1,192.38 and 765.83

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Solution

The fourth proportional to 795.80, 1,192.38 and 765.83 is: 1,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.80 : 1,192.38 = 765.83 : x
  2. Step 2: Convert to fraction form
    795.80/1,192.38 = 765.83/x
  3. Step 3: Cross multiply
    795.80x = 1,192.38 × 765.83
  4. Step 4: Simplify right side
    795.80x = 913,160.38
  5. Step 5: Solve for x
    x = 913,160.38/795.80
  6. Step 6: Final answer
    x = 1,147.47

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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.