Home / 1,456.28-2,184.44-416.28

Finding the Fourth Proportional to 1,456.28, 2,184.44 and 416.28

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Solution

The fourth proportional to 1,456.28, 2,184.44 and 416.28 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.28 : 2,184.44 = 416.28 : x
  2. Step 2: Convert to fraction form
    1,456.28/2,184.44 = 416.28/x
  3. Step 3: Cross multiply
    1,456.28x = 2,184.44 × 416.28
  4. Step 4: Simplify right side
    1,456.28x = 909,336.60
  5. Step 5: Solve for x
    x = 909,336.60/1,456.28
  6. Step 6: Final answer
    x = 624.42

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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.