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Finding the Fourth Proportional to 1,273.84, 1,758.16 and 826.27

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Solution

The fourth proportional to 1,273.84, 1,758.16 and 826.27 is: 1,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.84 : 1,758.16 = 826.27 : x
  2. Step 2: Convert to fraction form
    1,273.84/1,758.16 = 826.27/x
  3. Step 3: Cross multiply
    1,273.84x = 1,758.16 × 826.27
  4. Step 4: Simplify right side
    1,273.84x = 1,452,706.85
  5. Step 5: Solve for x
    x = 1,452,706.85/1,273.84
  6. Step 6: Final answer
    x = 1,140.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.