Home / 1,408.16-2,112.44-470.78

Finding the Fourth Proportional to 1,408.16, 2,112.44 and 470.78

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Solution

The fourth proportional to 1,408.16, 2,112.44 and 470.78 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.16 : 2,112.44 = 470.78 : x
  2. Step 2: Convert to fraction form
    1,408.16/2,112.44 = 470.78/x
  3. Step 3: Cross multiply
    1,408.16x = 2,112.44 × 470.78
  4. Step 4: Simplify right side
    1,408.16x = 994,494.50
  5. Step 5: Solve for x
    x = 994,494.50/1,408.16
  6. Step 6: Final answer
    x = 706.24

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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.