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Finding the Fourth Proportional to 1,234.23, 1,849.75 and 923.65

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Solution

The fourth proportional to 1,234.23, 1,849.75 and 923.65 is: 1,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.23 : 1,849.75 = 923.65 : x
  2. Step 2: Convert to fraction form
    1,234.23/1,849.75 = 923.65/x
  3. Step 3: Cross multiply
    1,234.23x = 1,849.75 × 923.65
  4. Step 4: Simplify right side
    1,234.23x = 1,708,511.18
  5. Step 5: Solve for x
    x = 1,708,511.18/1,234.23
  6. Step 6: Final answer
    x = 1,384.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.