Home / 1,369.18-2,054.58-822.70

Finding the Fourth Proportional to 1,369.18, 2,054.58 and 822.70

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Solution

The fourth proportional to 1,369.18, 2,054.58 and 822.70 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.18 : 2,054.58 = 822.70 : x
  2. Step 2: Convert to fraction form
    1,369.18/2,054.58 = 822.70/x
  3. Step 3: Cross multiply
    1,369.18x = 2,054.58 × 822.70
  4. Step 4: Simplify right side
    1,369.18x = 1,690,302.97
  5. Step 5: Solve for x
    x = 1,690,302.97/1,369.18
  6. Step 6: Final answer
    x = 1,234.54

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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.