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Finding the Fourth Proportional to 1,082.82, 1,624.04 and 352.30

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Solution

The fourth proportional to 1,082.82, 1,624.04 and 352.30 is: 528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.82 : 1,624.04 = 352.30 : x
  2. Step 2: Convert to fraction form
    1,082.82/1,624.04 = 352.30/x
  3. Step 3: Cross multiply
    1,082.82x = 1,624.04 × 352.30
  4. Step 4: Simplify right side
    1,082.82x = 572,149.29
  5. Step 5: Solve for x
    x = 572,149.29/1,082.82
  6. Step 6: Final answer
    x = 528.39

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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.