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Finding the Fourth Proportional to 1,201.60, 1,643.60 and 1,172.80

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Solution

The fourth proportional to 1,201.60, 1,643.60 and 1,172.80 is: 1,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.60 : 1,643.60 = 1,172.80 : x
  2. Step 2: Convert to fraction form
    1,201.60/1,643.60 = 1,172.80/x
  3. Step 3: Cross multiply
    1,201.60x = 1,643.60 × 1,172.80
  4. Step 4: Simplify right side
    1,201.60x = 1,927,614.08
  5. Step 5: Solve for x
    x = 1,927,614.08/1,201.60
  6. Step 6: Final answer
    x = 1,604.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.