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Finding the Fourth Proportional to 1,608.21, 2,412.09 and 568.17

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Solution

The fourth proportional to 1,608.21, 2,412.09 and 568.17 is: 852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.21 : 2,412.09 = 568.17 : x
  2. Step 2: Convert to fraction form
    1,608.21/2,412.09 = 568.17/x
  3. Step 3: Cross multiply
    1,608.21x = 2,412.09 × 568.17
  4. Step 4: Simplify right side
    1,608.21x = 1,370,477.18
  5. Step 5: Solve for x
    x = 1,370,477.18/1,608.21
  6. Step 6: Final answer
    x = 852.18

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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.