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Finding the Fourth Proportional to 1,082.08, 1,623.12 and 988.12

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Solution

The fourth proportional to 1,082.08, 1,623.12 and 988.12 is: 1,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.08 : 1,623.12 = 988.12 : x
  2. Step 2: Convert to fraction form
    1,082.08/1,623.12 = 988.12/x
  3. Step 3: Cross multiply
    1,082.08x = 1,623.12 × 988.12
  4. Step 4: Simplify right side
    1,082.08x = 1,603,837.33
  5. Step 5: Solve for x
    x = 1,603,837.33/1,082.08
  6. Step 6: Final answer
    x = 1,482.18

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1.5x scale

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.