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Finding the Fourth Proportional to 1,273.84, 1,910.16 and 452.09

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Solution

The fourth proportional to 1,273.84, 1,910.16 and 452.09 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.84 : 1,910.16 = 452.09 : x
  2. Step 2: Convert to fraction form
    1,273.84/1,910.16 = 452.09/x
  3. Step 3: Cross multiply
    1,273.84x = 1,910.16 × 452.09
  4. Step 4: Simplify right side
    1,273.84x = 863,569.01
  5. Step 5: Solve for x
    x = 863,569.01/1,273.84
  6. Step 6: Final answer
    x = 677.93

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1.5x scale

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.