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Finding the Fourth Proportional to 1,072.28, 1,608.42 and 302.72

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Solution

The fourth proportional to 1,072.28, 1,608.42 and 302.72 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.28 : 1,608.42 = 302.72 : x
  2. Step 2: Convert to fraction form
    1,072.28/1,608.42 = 302.72/x
  3. Step 3: Cross multiply
    1,072.28x = 1,608.42 × 302.72
  4. Step 4: Simplify right side
    1,072.28x = 486,900.90
  5. Step 5: Solve for x
    x = 486,900.90/1,072.28
  6. Step 6: Final answer
    x = 454.08

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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.