Home / 1,389.17-2,082.94-523.55

Finding the Fourth Proportional to 1,389.17, 2,082.94 and 523.55

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Solution

The fourth proportional to 1,389.17, 2,082.94 and 523.55 is: 785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.17 : 2,082.94 = 523.55 : x
  2. Step 2: Convert to fraction form
    1,389.17/2,082.94 = 523.55/x
  3. Step 3: Cross multiply
    1,389.17x = 2,082.94 × 523.55
  4. Step 4: Simplify right side
    1,389.17x = 1,090,523.24
  5. Step 5: Solve for x
    x = 1,090,523.24/1,389.17
  6. Step 6: Final answer
    x = 785.02

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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.