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Finding the Fourth Proportional to 1,645.07, 2,467.22 and 767.02

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Solution

The fourth proportional to 1,645.07, 2,467.22 and 767.02 is: 1,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.07 : 2,467.22 = 767.02 : x
  2. Step 2: Convert to fraction form
    1,645.07/2,467.22 = 767.02/x
  3. Step 3: Cross multiply
    1,645.07x = 2,467.22 × 767.02
  4. Step 4: Simplify right side
    1,645.07x = 1,892,407.08
  5. Step 5: Solve for x
    x = 1,892,407.08/1,645.07
  6. Step 6: Final answer
    x = 1,150.35

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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.