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Finding the Fourth Proportional to 1,446.17, 2,166.36 and 665.10

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Solution

The fourth proportional to 1,446.17, 2,166.36 and 665.10 is: 996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.17 : 2,166.36 = 665.10 : x
  2. Step 2: Convert to fraction form
    1,446.17/2,166.36 = 665.10/x
  3. Step 3: Cross multiply
    1,446.17x = 2,166.36 × 665.10
  4. Step 4: Simplify right side
    1,446.17x = 1,440,856.65
  5. Step 5: Solve for x
    x = 1,440,856.65/1,446.17
  6. Step 6: Final answer
    x = 996.32

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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.