Home / 1,082.00-1,623.78-432.72

Finding the Fourth Proportional to 1,082.00, 1,623.78 and 432.72

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Solution

The fourth proportional to 1,082.00, 1,623.78 and 432.72 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.00 : 1,623.78 = 432.72 : x
  2. Step 2: Convert to fraction form
    1,082.00/1,623.78 = 432.72/x
  3. Step 3: Cross multiply
    1,082.00x = 1,623.78 × 432.72
  4. Step 4: Simplify right side
    1,082.00x = 702,642.08
  5. Step 5: Solve for x
    x = 702,642.08/1,082.00
  6. Step 6: Final answer
    x = 649.39

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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.