Home / 1,082.16-1,623.47-432.86

Finding the Fourth Proportional to 1,082.16, 1,623.47 and 432.86

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Solution

The fourth proportional to 1,082.16, 1,623.47 and 432.86 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.16 : 1,623.47 = 432.86 : x
  2. Step 2: Convert to fraction form
    1,082.16/1,623.47 = 432.86/x
  3. Step 3: Cross multiply
    1,082.16x = 1,623.47 × 432.86
  4. Step 4: Simplify right side
    1,082.16x = 702,724.94
  5. Step 5: Solve for x
    x = 702,724.94/1,082.16
  6. Step 6: Final answer
    x = 649.37

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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.