Home / 1,223.42-1,835.12-298.97

Finding the Fourth Proportional to 1,223.42, 1,835.12 and 298.97

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Solution

The fourth proportional to 1,223.42, 1,835.12 and 298.97 is: 448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.42 : 1,835.12 = 298.97 : x
  2. Step 2: Convert to fraction form
    1,223.42/1,835.12 = 298.97/x
  3. Step 3: Cross multiply
    1,223.42x = 1,835.12 × 298.97
  4. Step 4: Simplify right side
    1,223.42x = 548,636.65
  5. Step 5: Solve for x
    x = 548,636.65/1,223.42
  6. Step 6: Final answer
    x = 448.45

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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.