Home / 1,225.08-1,836.49-494.16

Finding the Fourth Proportional to 1,225.08, 1,836.49 and 494.16

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Solution

The fourth proportional to 1,225.08, 1,836.49 and 494.16 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.08 : 1,836.49 = 494.16 : x
  2. Step 2: Convert to fraction form
    1,225.08/1,836.49 = 494.16/x
  3. Step 3: Cross multiply
    1,225.08x = 1,836.49 × 494.16
  4. Step 4: Simplify right side
    1,225.08x = 907,519.90
  5. Step 5: Solve for x
    x = 907,519.90/1,225.08
  6. Step 6: Final answer
    x = 740.78

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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.