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Finding the Fourth Proportional to 1,082.91, 1,621.76 and 619.28

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Solution

The fourth proportional to 1,082.91, 1,621.76 and 619.28 is: 927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.91 : 1,621.76 = 619.28 : x
  2. Step 2: Convert to fraction form
    1,082.91/1,621.76 = 619.28/x
  3. Step 3: Cross multiply
    1,082.91x = 1,621.76 × 619.28
  4. Step 4: Simplify right side
    1,082.91x = 1,004,329.14
  5. Step 5: Solve for x
    x = 1,004,329.14/1,082.91
  6. Step 6: Final answer
    x = 927.44

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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.