Home / 1,412.67-2,119.13-438.78

Finding the Fourth Proportional to 1,412.67, 2,119.13 and 438.78

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Solution

The fourth proportional to 1,412.67, 2,119.13 and 438.78 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.67 : 2,119.13 = 438.78 : x
  2. Step 2: Convert to fraction form
    1,412.67/2,119.13 = 438.78/x
  3. Step 3: Cross multiply
    1,412.67x = 2,119.13 × 438.78
  4. Step 4: Simplify right side
    1,412.67x = 929,829.67
  5. Step 5: Solve for x
    x = 929,829.67/1,412.67
  6. Step 6: Final answer
    x = 658.21

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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.