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Finding the Fourth Proportional to 1,316.73, 1,975.44 and 769.38

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Solution

The fourth proportional to 1,316.73, 1,975.44 and 769.38 is: 1,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.73 : 1,975.44 = 769.38 : x
  2. Step 2: Convert to fraction form
    1,316.73/1,975.44 = 769.38/x
  3. Step 3: Cross multiply
    1,316.73x = 1,975.44 × 769.38
  4. Step 4: Simplify right side
    1,316.73x = 1,519,864.03
  5. Step 5: Solve for x
    x = 1,519,864.03/1,316.73
  6. Step 6: Final answer
    x = 1,154.27

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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.