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Finding the Fourth Proportional to 1,621.04, 2,431.89 and 696.69

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Solution

The fourth proportional to 1,621.04, 2,431.89 and 696.69 is: 1,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.04 : 2,431.89 = 696.69 : x
  2. Step 2: Convert to fraction form
    1,621.04/2,431.89 = 696.69/x
  3. Step 3: Cross multiply
    1,621.04x = 2,431.89 × 696.69
  4. Step 4: Simplify right side
    1,621.04x = 1,694,273.44
  5. Step 5: Solve for x
    x = 1,694,273.44/1,621.04
  6. Step 6: Final answer
    x = 1,045.18

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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.