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Finding the Fourth Proportional to 795.46, 1,190.67 and 765.22

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Solution

The fourth proportional to 795.46, 1,190.67 and 765.22 is: 1,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.46 : 1,190.67 = 765.22 : x
  2. Step 2: Convert to fraction form
    795.46/1,190.67 = 765.22/x
  3. Step 3: Cross multiply
    795.46x = 1,190.67 × 765.22
  4. Step 4: Simplify right side
    795.46x = 911,124.50
  5. Step 5: Solve for x
    x = 911,124.50/795.46
  6. Step 6: Final answer
    x = 1,145.41

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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.