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Finding the Fourth Proportional to 795.68, 1,186.82 and 771.38

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Solution

The fourth proportional to 795.68, 1,186.82 and 771.38 is: 1,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.68 : 1,186.82 = 771.38 : x
  2. Step 2: Convert to fraction form
    795.68/1,186.82 = 771.38/x
  3. Step 3: Cross multiply
    795.68x = 1,186.82 × 771.38
  4. Step 4: Simplify right side
    795.68x = 915,489.21
  5. Step 5: Solve for x
    x = 915,489.21/795.68
  6. Step 6: Final answer
    x = 1,150.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.