Home / 1,224.08-1,835.44-402.14

Finding the Fourth Proportional to 1,224.08, 1,835.44 and 402.14

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Solution

The fourth proportional to 1,224.08, 1,835.44 and 402.14 is: 602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.08 : 1,835.44 = 402.14 : x
  2. Step 2: Convert to fraction form
    1,224.08/1,835.44 = 402.14/x
  3. Step 3: Cross multiply
    1,224.08x = 1,835.44 × 402.14
  4. Step 4: Simplify right side
    1,224.08x = 738,103.84
  5. Step 5: Solve for x
    x = 738,103.84/1,224.08
  6. Step 6: Final answer
    x = 602.99

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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.