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Finding the Fourth Proportional to 803.82, 1,109.79 and 719.65

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Solution

The fourth proportional to 803.82, 1,109.79 and 719.65 is: 993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,109.79 = 719.65 : x
  2. Step 2: Convert to fraction form
    803.82/1,109.79 = 719.65/x
  3. Step 3: Cross multiply
    803.82x = 1,109.79 × 719.65
  4. Step 4: Simplify right side
    803.82x = 798,651.23
  5. Step 5: Solve for x
    x = 798,651.23/803.82
  6. Step 6: Final answer
    x = 993.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.