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Finding the Fourth Proportional to 1,082.35, 1,624.13 and 433.03

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Solution

The fourth proportional to 1,082.35, 1,624.13 and 433.03 is: 649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.35 : 1,624.13 = 433.03 : x
  2. Step 2: Convert to fraction form
    1,082.35/1,624.13 = 433.03/x
  3. Step 3: Cross multiply
    1,082.35x = 1,624.13 × 433.03
  4. Step 4: Simplify right side
    1,082.35x = 703,297.01
  5. Step 5: Solve for x
    x = 703,297.01/1,082.35
  6. Step 6: Final answer
    x = 649.79

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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.