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Finding the Fourth Proportional to 798.63, 1,095.23 and 765.37

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Solution

The fourth proportional to 798.63, 1,095.23 and 765.37 is: 1,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.63 : 1,095.23 = 765.37 : x
  2. Step 2: Convert to fraction form
    798.63/1,095.23 = 765.37/x
  3. Step 3: Cross multiply
    798.63x = 1,095.23 × 765.37
  4. Step 4: Simplify right side
    798.63x = 838,259.47
  5. Step 5: Solve for x
    x = 838,259.47/798.63
  6. Step 6: Final answer
    x = 1,049.63

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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.