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Finding the Fourth Proportional to 1,082.52, 1,623.90 and 433.32

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Solution

The fourth proportional to 1,082.52, 1,623.90 and 433.32 is: 650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.52 : 1,623.90 = 433.32 : x
  2. Step 2: Convert to fraction form
    1,082.52/1,623.90 = 433.32/x
  3. Step 3: Cross multiply
    1,082.52x = 1,623.90 × 433.32
  4. Step 4: Simplify right side
    1,082.52x = 703,668.35
  5. Step 5: Solve for x
    x = 703,668.35/1,082.52
  6. Step 6: Final answer
    x = 650.03

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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.