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Finding the Fourth Proportional to 1,082.35, 1,623.42 and 465.94

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Solution

The fourth proportional to 1,082.35, 1,623.42 and 465.94 is: 698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.35 : 1,623.42 = 465.94 : x
  2. Step 2: Convert to fraction form
    1,082.35/1,623.42 = 465.94/x
  3. Step 3: Cross multiply
    1,082.35x = 1,623.42 × 465.94
  4. Step 4: Simplify right side
    1,082.35x = 756,416.31
  5. Step 5: Solve for x
    x = 756,416.31/1,082.35
  6. Step 6: Final answer
    x = 698.86

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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.