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Finding the Fourth Proportional to 1,227.36, 1,840.44 and 633.68

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Solution

The fourth proportional to 1,227.36, 1,840.44 and 633.68 is: 950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.36 : 1,840.44 = 633.68 : x
  2. Step 2: Convert to fraction form
    1,227.36/1,840.44 = 633.68/x
  3. Step 3: Cross multiply
    1,227.36x = 1,840.44 × 633.68
  4. Step 4: Simplify right side
    1,227.36x = 1,166,250.02
  5. Step 5: Solve for x
    x = 1,166,250.02/1,227.36
  6. Step 6: Final answer
    x = 950.21

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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.