Home / 1,512.47-2,268.46-416.59

Finding the Fourth Proportional to 1,512.47, 2,268.46 and 416.59

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Solution

The fourth proportional to 1,512.47, 2,268.46 and 416.59 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.47 : 2,268.46 = 416.59 : x
  2. Step 2: Convert to fraction form
    1,512.47/2,268.46 = 416.59/x
  3. Step 3: Cross multiply
    1,512.47x = 2,268.46 × 416.59
  4. Step 4: Simplify right side
    1,512.47x = 945,011.04
  5. Step 5: Solve for x
    x = 945,011.04/1,512.47
  6. Step 6: Final answer
    x = 624.81

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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.