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Finding the Fourth Proportional to 1,082.09, 1,622.23 and 432.47

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Solution

The fourth proportional to 1,082.09, 1,622.23 and 432.47 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.09 : 1,622.23 = 432.47 : x
  2. Step 2: Convert to fraction form
    1,082.09/1,622.23 = 432.47/x
  3. Step 3: Cross multiply
    1,082.09x = 1,622.23 × 432.47
  4. Step 4: Simplify right side
    1,082.09x = 701,568.78
  5. Step 5: Solve for x
    x = 701,568.78/1,082.09
  6. Step 6: Final answer
    x = 648.34

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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.