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Finding the Fourth Proportional to 1,091.60, 1,629.06 and 846.80

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Solution

The fourth proportional to 1,091.60, 1,629.06 and 846.80 is: 1,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.60 : 1,629.06 = 846.80 : x
  2. Step 2: Convert to fraction form
    1,091.60/1,629.06 = 846.80/x
  3. Step 3: Cross multiply
    1,091.60x = 1,629.06 × 846.80
  4. Step 4: Simplify right side
    1,091.60x = 1,379,488.01
  5. Step 5: Solve for x
    x = 1,379,488.01/1,091.60
  6. Step 6: Final answer
    x = 1,263.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.