Home / 1,082.94-1,623.44-389.45

Finding the Fourth Proportional to 1,082.94, 1,623.44 and 389.45

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Solution

The fourth proportional to 1,082.94, 1,623.44 and 389.45 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.94 : 1,623.44 = 389.45 : x
  2. Step 2: Convert to fraction form
    1,082.94/1,623.44 = 389.45/x
  3. Step 3: Cross multiply
    1,082.94x = 1,623.44 × 389.45
  4. Step 4: Simplify right side
    1,082.94x = 632,240.59
  5. Step 5: Solve for x
    x = 632,240.59/1,082.94
  6. Step 6: Final answer
    x = 583.82

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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.