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Finding the Fourth Proportional to 1,274.21, 1,911.61 and 452.48

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Solution

The fourth proportional to 1,274.21, 1,911.61 and 452.48 is: 678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.21 : 1,911.61 = 452.48 : x
  2. Step 2: Convert to fraction form
    1,274.21/1,911.61 = 452.48/x
  3. Step 3: Cross multiply
    1,274.21x = 1,911.61 × 452.48
  4. Step 4: Simplify right side
    1,274.21x = 864,965.29
  5. Step 5: Solve for x
    x = 864,965.29/1,274.21
  6. Step 6: Final answer
    x = 678.82

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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.