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Finding the Fourth Proportional to 1,406.51, 2,109.20 and 481.80

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Solution

The fourth proportional to 1,406.51, 2,109.20 and 481.80 is: 722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.51 : 2,109.20 = 481.80 : x
  2. Step 2: Convert to fraction form
    1,406.51/2,109.20 = 481.80/x
  3. Step 3: Cross multiply
    1,406.51x = 2,109.20 × 481.80
  4. Step 4: Simplify right side
    1,406.51x = 1,016,210.15
  5. Step 5: Solve for x
    x = 1,016,210.15/1,406.51
  6. Step 6: Final answer
    x = 722.51

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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.