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Finding the Fourth Proportional to 826.94, 1,234.74 and 705.14

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Solution

The fourth proportional to 826.94, 1,234.74 and 705.14 is: 1,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,234.74 = 705.14 : x
  2. Step 2: Convert to fraction form
    826.94/1,234.74 = 705.14/x
  3. Step 3: Cross multiply
    826.94x = 1,234.74 × 705.14
  4. Step 4: Simplify right side
    826.94x = 870,661.04
  5. Step 5: Solve for x
    x = 870,661.04/826.94
  6. Step 6: Final answer
    x = 1,052.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.