Home / 1,419.16-2,128.74-688.84

Finding the Fourth Proportional to 1,419.16, 2,128.74 and 688.84

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Solution

The fourth proportional to 1,419.16, 2,128.74 and 688.84 is: 1,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.16 : 2,128.74 = 688.84 : x
  2. Step 2: Convert to fraction form
    1,419.16/2,128.74 = 688.84/x
  3. Step 3: Cross multiply
    1,419.16x = 2,128.74 × 688.84
  4. Step 4: Simplify right side
    1,419.16x = 1,466,365.33
  5. Step 5: Solve for x
    x = 1,466,365.33/1,419.16
  6. Step 6: Final answer
    x = 1,033.26

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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.