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Finding the Fourth Proportional to 1,274.43, 1,911.65 and 349.96

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Solution

The fourth proportional to 1,274.43, 1,911.65 and 349.96 is: 524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.43 : 1,911.65 = 349.96 : x
  2. Step 2: Convert to fraction form
    1,274.43/1,911.65 = 349.96/x
  3. Step 3: Cross multiply
    1,274.43x = 1,911.65 × 349.96
  4. Step 4: Simplify right side
    1,274.43x = 669,001.03
  5. Step 5: Solve for x
    x = 669,001.03/1,274.43
  6. Step 6: Final answer
    x = 524.94

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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.