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Finding the Fourth Proportional to 1,784.35, 2,675.61 and 689.03

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Solution

The fourth proportional to 1,784.35, 2,675.61 and 689.03 is: 1,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.35 : 2,675.61 = 689.03 : x
  2. Step 2: Convert to fraction form
    1,784.35/2,675.61 = 689.03/x
  3. Step 3: Cross multiply
    1,784.35x = 2,675.61 × 689.03
  4. Step 4: Simplify right side
    1,784.35x = 1,843,575.56
  5. Step 5: Solve for x
    x = 1,843,575.56/1,784.35
  6. Step 6: Final answer
    x = 1,033.19

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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.