Home / 1,396.20-2,092.80-470.90

Finding the Fourth Proportional to 1,396.20, 2,092.80 and 470.90

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Solution

The fourth proportional to 1,396.20, 2,092.80 and 470.90 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.20 : 2,092.80 = 470.90 : x
  2. Step 2: Convert to fraction form
    1,396.20/2,092.80 = 470.90/x
  3. Step 3: Cross multiply
    1,396.20x = 2,092.80 × 470.90
  4. Step 4: Simplify right side
    1,396.20x = 985,499.52
  5. Step 5: Solve for x
    x = 985,499.52/1,396.20
  6. Step 6: Final answer
    x = 705.84

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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.