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Finding the Fourth Proportional to 783.19, 1,174.33 and 344.42

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Solution

The fourth proportional to 783.19, 1,174.33 and 344.42 is: 516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.19 : 1,174.33 = 344.42 : x
  2. Step 2: Convert to fraction form
    783.19/1,174.33 = 344.42/x
  3. Step 3: Cross multiply
    783.19x = 1,174.33 × 344.42
  4. Step 4: Simplify right side
    783.19x = 404,464.81
  5. Step 5: Solve for x
    x = 404,464.81/783.19
  6. Step 6: Final answer
    x = 516.43

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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.