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Finding the Fourth Proportional to 1,274.27, 1,911.42 and 452.58

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Solution

The fourth proportional to 1,274.27, 1,911.42 and 452.58 is: 678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.27 : 1,911.42 = 452.58 : x
  2. Step 2: Convert to fraction form
    1,274.27/1,911.42 = 452.58/x
  3. Step 3: Cross multiply
    1,274.27x = 1,911.42 × 452.58
  4. Step 4: Simplify right side
    1,274.27x = 865,069.94
  5. Step 5: Solve for x
    x = 865,069.94/1,274.27
  6. Step 6: Final answer
    x = 678.87

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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.