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Finding the Fourth Proportional to 1,628.88, 2,443.41 and 655.05

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Solution

The fourth proportional to 1,628.88, 2,443.41 and 655.05 is: 982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.88 : 2,443.41 = 655.05 : x
  2. Step 2: Convert to fraction form
    1,628.88/2,443.41 = 655.05/x
  3. Step 3: Cross multiply
    1,628.88x = 2,443.41 × 655.05
  4. Step 4: Simplify right side
    1,628.88x = 1,600,555.72
  5. Step 5: Solve for x
    x = 1,600,555.72/1,628.88
  6. Step 6: Final answer
    x = 982.61

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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.