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Finding the Fourth Proportional to 2,274.78, 3,412.19 and 631.22

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Solution

The fourth proportional to 2,274.78, 3,412.19 and 631.22 is: 946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.78 : 3,412.19 = 631.22 : x
  2. Step 2: Convert to fraction form
    2,274.78/3,412.19 = 631.22/x
  3. Step 3: Cross multiply
    2,274.78x = 3,412.19 × 631.22
  4. Step 4: Simplify right side
    2,274.78x = 2,153,836.69
  5. Step 5: Solve for x
    x = 2,153,836.69/2,274.78
  6. Step 6: Final answer
    x = 946.83

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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.