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Finding the Fourth Proportional to 1,496.22, 2,245.50 and 1,037.22

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Solution

The fourth proportional to 1,496.22, 2,245.50 and 1,037.22 is: 1,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.22 : 2,245.50 = 1,037.22 : x
  2. Step 2: Convert to fraction form
    1,496.22/2,245.50 = 1,037.22/x
  3. Step 3: Cross multiply
    1,496.22x = 2,245.50 × 1,037.22
  4. Step 4: Simplify right side
    1,496.22x = 2,329,077.51
  5. Step 5: Solve for x
    x = 2,329,077.51/1,496.22
  6. Step 6: Final answer
    x = 1,556.64

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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.