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Finding the Fourth Proportional to 1,643.50, 2,269.07 and 1,055.07

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Solution

The fourth proportional to 1,643.50, 2,269.07 and 1,055.07 is: 1,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.50 : 2,269.07 = 1,055.07 : x
  2. Step 2: Convert to fraction form
    1,643.50/2,269.07 = 1,055.07/x
  3. Step 3: Cross multiply
    1,643.50x = 2,269.07 × 1,055.07
  4. Step 4: Simplify right side
    1,643.50x = 2,394,027.68
  5. Step 5: Solve for x
    x = 2,394,027.68/1,643.50
  6. Step 6: Final answer
    x = 1,456.66

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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.