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Finding the Fourth Proportional to 795.99, 1,186.17 and 769.89

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Solution

The fourth proportional to 795.99, 1,186.17 and 769.89 is: 1,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.99 : 1,186.17 = 769.89 : x
  2. Step 2: Convert to fraction form
    795.99/1,186.17 = 769.89/x
  3. Step 3: Cross multiply
    795.99x = 1,186.17 × 769.89
  4. Step 4: Simplify right side
    795.99x = 913,220.42
  5. Step 5: Solve for x
    x = 913,220.42/795.99
  6. Step 6: Final answer
    x = 1,147.28

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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.