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Finding the Fourth Proportional to 1,645.98, 2,270.22 and 1,267.80

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Solution

The fourth proportional to 1,645.98, 2,270.22 and 1,267.80 is: 1,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.98 : 2,270.22 = 1,267.80 : x
  2. Step 2: Convert to fraction form
    1,645.98/2,270.22 = 1,267.80/x
  3. Step 3: Cross multiply
    1,645.98x = 2,270.22 × 1,267.80
  4. Step 4: Simplify right side
    1,645.98x = 2,878,184.92
  5. Step 5: Solve for x
    x = 2,878,184.92/1,645.98
  6. Step 6: Final answer
    x = 1,748.61

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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.