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Finding the Fourth Proportional to 1,608.35, 2,412.41 and 438.30

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Solution

The fourth proportional to 1,608.35, 2,412.41 and 438.30 is: 657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.35 : 2,412.41 = 438.30 : x
  2. Step 2: Convert to fraction form
    1,608.35/2,412.41 = 438.30/x
  3. Step 3: Cross multiply
    1,608.35x = 2,412.41 × 438.30
  4. Step 4: Simplify right side
    1,608.35x = 1,057,357.11
  5. Step 5: Solve for x
    x = 1,057,357.11/1,608.35
  6. Step 6: Final answer
    x = 657.42

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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.