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Finding the Fourth Proportional to 1,082.12, 1,623.44 and 312.64

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Solution

The fourth proportional to 1,082.12, 1,623.44 and 312.64 is: 469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.12 : 1,623.44 = 312.64 : x
  2. Step 2: Convert to fraction form
    1,082.12/1,623.44 = 312.64/x
  3. Step 3: Cross multiply
    1,082.12x = 1,623.44 × 312.64
  4. Step 4: Simplify right side
    1,082.12x = 507,552.28
  5. Step 5: Solve for x
    x = 507,552.28/1,082.12
  6. Step 6: Final answer
    x = 469.04

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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.