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Finding the Fourth Proportional to 1,105.82, 1,658.44 and 739.50

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Solution

The fourth proportional to 1,105.82, 1,658.44 and 739.50 is: 1,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.82 : 1,658.44 = 739.50 : x
  2. Step 2: Convert to fraction form
    1,105.82/1,658.44 = 739.50/x
  3. Step 3: Cross multiply
    1,105.82x = 1,658.44 × 739.50
  4. Step 4: Simplify right side
    1,105.82x = 1,226,416.38
  5. Step 5: Solve for x
    x = 1,226,416.38/1,105.82
  6. Step 6: Final answer
    x = 1,109.06

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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.