Home / 1,224.09-1,835.67-402.21

Finding the Fourth Proportional to 1,224.09, 1,835.67 and 402.21

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Solution

The fourth proportional to 1,224.09, 1,835.67 and 402.21 is: 603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.09 : 1,835.67 = 402.21 : x
  2. Step 2: Convert to fraction form
    1,224.09/1,835.67 = 402.21/x
  3. Step 3: Cross multiply
    1,224.09x = 1,835.67 × 402.21
  4. Step 4: Simplify right side
    1,224.09x = 738,324.83
  5. Step 5: Solve for x
    x = 738,324.83/1,224.09
  6. Step 6: Final answer
    x = 603.16

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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.