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Finding the Fourth Proportional to 1,633.76, 2,255.28 and 1,240.80

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Solution

The fourth proportional to 1,633.76, 2,255.28 and 1,240.80 is: 1,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.76 : 2,255.28 = 1,240.80 : x
  2. Step 2: Convert to fraction form
    1,633.76/2,255.28 = 1,240.80/x
  3. Step 3: Cross multiply
    1,633.76x = 2,255.28 × 1,240.80
  4. Step 4: Simplify right side
    1,633.76x = 2,798,351.42
  5. Step 5: Solve for x
    x = 2,798,351.42/1,633.76
  6. Step 6: Final answer
    x = 1,712.83

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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.