Home / 1,223.93-1,836.18-402.23

Finding the Fourth Proportional to 1,223.93, 1,836.18 and 402.23

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Solution

The fourth proportional to 1,223.93, 1,836.18 and 402.23 is: 603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.93 : 1,836.18 = 402.23 : x
  2. Step 2: Convert to fraction form
    1,223.93/1,836.18 = 402.23/x
  3. Step 3: Cross multiply
    1,223.93x = 1,836.18 × 402.23
  4. Step 4: Simplify right side
    1,223.93x = 738,571.27
  5. Step 5: Solve for x
    x = 738,571.27/1,223.93
  6. Step 6: Final answer
    x = 603.44

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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.