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Finding the Fourth Proportional to 1,108.07, 1,658.89 and 644.44

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Solution

The fourth proportional to 1,108.07, 1,658.89 and 644.44 is: 964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.07 : 1,658.89 = 644.44 : x
  2. Step 2: Convert to fraction form
    1,108.07/1,658.89 = 644.44/x
  3. Step 3: Cross multiply
    1,108.07x = 1,658.89 × 644.44
  4. Step 4: Simplify right side
    1,108.07x = 1,069,049.31
  5. Step 5: Solve for x
    x = 1,069,049.31/1,108.07
  6. Step 6: Final answer
    x = 964.78

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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.