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Finding the Fourth Proportional to 1,619.03, 2,429.40 and 741.80

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Solution

The fourth proportional to 1,619.03, 2,429.40 and 741.80 is: 1,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.03 : 2,429.40 = 741.80 : x
  2. Step 2: Convert to fraction form
    1,619.03/2,429.40 = 741.80/x
  3. Step 3: Cross multiply
    1,619.03x = 2,429.40 × 741.80
  4. Step 4: Simplify right side
    1,619.03x = 1,802,128.92
  5. Step 5: Solve for x
    x = 1,802,128.92/1,619.03
  6. Step 6: Final answer
    x = 1,113.09

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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.