Home / 1,121.33-1,680.28-471.71

Finding the Fourth Proportional to 1,121.33, 1,680.28 and 471.71

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Solution

The fourth proportional to 1,121.33, 1,680.28 and 471.71 is: 706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.33 : 1,680.28 = 471.71 : x
  2. Step 2: Convert to fraction form
    1,121.33/1,680.28 = 471.71/x
  3. Step 3: Cross multiply
    1,121.33x = 1,680.28 × 471.71
  4. Step 4: Simplify right side
    1,121.33x = 792,604.88
  5. Step 5: Solve for x
    x = 792,604.88/1,121.33
  6. Step 6: Final answer
    x = 706.84

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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.