Home / 1,082.21-1,623.30-312.71

Finding the Fourth Proportional to 1,082.21, 1,623.30 and 312.71

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Solution

The fourth proportional to 1,082.21, 1,623.30 and 312.71 is: 469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.21 : 1,623.30 = 312.71 : x
  2. Step 2: Convert to fraction form
    1,082.21/1,623.30 = 312.71/x
  3. Step 3: Cross multiply
    1,082.21x = 1,623.30 × 312.71
  4. Step 4: Simplify right side
    1,082.21x = 507,614.03
  5. Step 5: Solve for x
    x = 507,614.03/1,082.21
  6. Step 6: Final answer
    x = 469.06

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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.