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Finding the Fourth Proportional to 1,108.70, 1,664.00 and 450.94

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Solution

The fourth proportional to 1,108.70, 1,664.00 and 450.94 is: 676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.70 : 1,664.00 = 450.94 : x
  2. Step 2: Convert to fraction form
    1,108.70/1,664.00 = 450.94/x
  3. Step 3: Cross multiply
    1,108.70x = 1,664.00 × 450.94
  4. Step 4: Simplify right side
    1,108.70x = 750,359.44
  5. Step 5: Solve for x
    x = 750,359.44/1,108.70
  6. Step 6: Final answer
    x = 676.80

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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.