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Finding the Fourth Proportional to 1,206.13, 1,664.13 and 764.22

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Solution

The fourth proportional to 1,206.13, 1,664.13 and 764.22 is: 1,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.13 : 1,664.13 = 764.22 : x
  2. Step 2: Convert to fraction form
    1,206.13/1,664.13 = 764.22/x
  3. Step 3: Cross multiply
    1,206.13x = 1,664.13 × 764.22
  4. Step 4: Simplify right side
    1,206.13x = 1,271,761.43
  5. Step 5: Solve for x
    x = 1,271,761.43/1,206.13
  6. Step 6: Final answer
    x = 1,054.41

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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.