Home / 1,467.13-2,201.15-493.15

Finding the Fourth Proportional to 1,467.13, 2,201.15 and 493.15

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Solution

The fourth proportional to 1,467.13, 2,201.15 and 493.15 is: 739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.13 : 2,201.15 = 493.15 : x
  2. Step 2: Convert to fraction form
    1,467.13/2,201.15 = 493.15/x
  3. Step 3: Cross multiply
    1,467.13x = 2,201.15 × 493.15
  4. Step 4: Simplify right side
    1,467.13x = 1,085,494.66
  5. Step 5: Solve for x
    x = 1,085,494.66/1,467.13
  6. Step 6: Final answer
    x = 739.88

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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.