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Finding the Fourth Proportional to 1,082.49, 1,623.74 and 352.06

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Solution

The fourth proportional to 1,082.49, 1,623.74 and 352.06 is: 528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.49 : 1,623.74 = 352.06 : x
  2. Step 2: Convert to fraction form
    1,082.49/1,623.74 = 352.06/x
  3. Step 3: Cross multiply
    1,082.49x = 1,623.74 × 352.06
  4. Step 4: Simplify right side
    1,082.49x = 571,653.90
  5. Step 5: Solve for x
    x = 571,653.90/1,082.49
  6. Step 6: Final answer
    x = 528.09

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Double scale
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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.