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Finding the Fourth Proportional to 1,072.63, 1,609.31 and 423.01

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Solution

The fourth proportional to 1,072.63, 1,609.31 and 423.01 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.63 : 1,609.31 = 423.01 : x
  2. Step 2: Convert to fraction form
    1,072.63/1,609.31 = 423.01/x
  3. Step 3: Cross multiply
    1,072.63x = 1,609.31 × 423.01
  4. Step 4: Simplify right side
    1,072.63x = 680,754.22
  5. Step 5: Solve for x
    x = 680,754.22/1,072.63
  6. Step 6: Final answer
    x = 634.66

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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.