Home / 1,223.24-1,834.65-401.42

Finding the Fourth Proportional to 1,223.24, 1,834.65 and 401.42

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Solution

The fourth proportional to 1,223.24, 1,834.65 and 401.42 is: 602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.24 : 1,834.65 = 401.42 : x
  2. Step 2: Convert to fraction form
    1,223.24/1,834.65 = 401.42/x
  3. Step 3: Cross multiply
    1,223.24x = 1,834.65 × 401.42
  4. Step 4: Simplify right side
    1,223.24x = 736,469.79
  5. Step 5: Solve for x
    x = 736,469.79/1,223.24
  6. Step 6: Final answer
    x = 602.07

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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.