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Finding the Fourth Proportional to 1,072.05, 1,607.23 and 423.27

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Solution

The fourth proportional to 1,072.05, 1,607.23 and 423.27 is: 634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.05 : 1,607.23 = 423.27 : x
  2. Step 2: Convert to fraction form
    1,072.05/1,607.23 = 423.27/x
  3. Step 3: Cross multiply
    1,072.05x = 1,607.23 × 423.27
  4. Step 4: Simplify right side
    1,072.05x = 680,292.24
  5. Step 5: Solve for x
    x = 680,292.24/1,072.05
  6. Step 6: Final answer
    x = 634.57

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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.