Home / 1,224.09-1,836.14-402.35

Finding the Fourth Proportional to 1,224.09, 1,836.14 and 402.35

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Solution

The fourth proportional to 1,224.09, 1,836.14 and 402.35 is: 603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.09 : 1,836.14 = 402.35 : x
  2. Step 2: Convert to fraction form
    1,224.09/1,836.14 = 402.35/x
  3. Step 3: Cross multiply
    1,224.09x = 1,836.14 × 402.35
  4. Step 4: Simplify right side
    1,224.09x = 738,759.74
  5. Step 5: Solve for x
    x = 738,759.74/1,224.09
  6. Step 6: Final answer
    x = 603.52

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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.