Home / 1,390.22-2,085.78-465.80

Finding the Fourth Proportional to 1,390.22, 2,085.78 and 465.80

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Solution

The fourth proportional to 1,390.22, 2,085.78 and 465.80 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.22 : 2,085.78 = 465.80 : x
  2. Step 2: Convert to fraction form
    1,390.22/2,085.78 = 465.80/x
  3. Step 3: Cross multiply
    1,390.22x = 2,085.78 × 465.80
  4. Step 4: Simplify right side
    1,390.22x = 971,556.32
  5. Step 5: Solve for x
    x = 971,556.32/1,390.22
  6. Step 6: Final answer
    x = 698.85

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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.