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Finding the Fourth Proportional to 1,072.08, 1,608.03 and 302.58

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Solution

The fourth proportional to 1,072.08, 1,608.03 and 302.58 is: 453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.08 : 1,608.03 = 302.58 : x
  2. Step 2: Convert to fraction form
    1,072.08/1,608.03 = 302.58/x
  3. Step 3: Cross multiply
    1,072.08x = 1,608.03 × 302.58
  4. Step 4: Simplify right side
    1,072.08x = 486,557.72
  5. Step 5: Solve for x
    x = 486,557.72/1,072.08
  6. Step 6: Final answer
    x = 453.84

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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.