Home / 1,390.33-2,085.27-416.20

Finding the Fourth Proportional to 1,390.33, 2,085.27 and 416.20

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Solution

The fourth proportional to 1,390.33, 2,085.27 and 416.20 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.33 : 2,085.27 = 416.20 : x
  2. Step 2: Convert to fraction form
    1,390.33/2,085.27 = 416.20/x
  3. Step 3: Cross multiply
    1,390.33x = 2,085.27 × 416.20
  4. Step 4: Simplify right side
    1,390.33x = 867,889.37
  5. Step 5: Solve for x
    x = 867,889.37/1,390.33
  6. Step 6: Final answer
    x = 624.23

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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.