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Finding the Fourth Proportional to 1,072.43, 1,608.53 and 292.50

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Solution

The fourth proportional to 1,072.43, 1,608.53 and 292.50 is: 438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.43 : 1,608.53 = 292.50 : x
  2. Step 2: Convert to fraction form
    1,072.43/1,608.53 = 292.50/x
  3. Step 3: Cross multiply
    1,072.43x = 1,608.53 × 292.50
  4. Step 4: Simplify right side
    1,072.43x = 470,493.56
  5. Step 5: Solve for x
    x = 470,493.56/1,072.43
  6. Step 6: Final answer
    x = 438.72

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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.