Home / 1,228.13-1,839.35-706.84

Finding the Fourth Proportional to 1,228.13, 1,839.35 and 706.84

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Solution

The fourth proportional to 1,228.13, 1,839.35 and 706.84 is: 1,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.13 : 1,839.35 = 706.84 : x
  2. Step 2: Convert to fraction form
    1,228.13/1,839.35 = 706.84/x
  3. Step 3: Cross multiply
    1,228.13x = 1,839.35 × 706.84
  4. Step 4: Simplify right side
    1,228.13x = 1,300,121.93
  5. Step 5: Solve for x
    x = 1,300,121.93/1,228.13
  6. Step 6: Final answer
    x = 1,058.62

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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.