Home / 1,225.20-1,836.78-494.07

Finding the Fourth Proportional to 1,225.20, 1,836.78 and 494.07

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Solution

The fourth proportional to 1,225.20, 1,836.78 and 494.07 is: 740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.20 : 1,836.78 = 494.07 : x
  2. Step 2: Convert to fraction form
    1,225.20/1,836.78 = 494.07/x
  3. Step 3: Cross multiply
    1,225.20x = 1,836.78 × 494.07
  4. Step 4: Simplify right side
    1,225.20x = 907,497.89
  5. Step 5: Solve for x
    x = 907,497.89/1,225.20
  6. Step 6: Final answer
    x = 740.69

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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.