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Finding the Fourth Proportional to 1,391.74, 1,920.82 and 794.23

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Solution

The fourth proportional to 1,391.74, 1,920.82 and 794.23 is: 1,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.74 : 1,920.82 = 794.23 : x
  2. Step 2: Convert to fraction form
    1,391.74/1,920.82 = 794.23/x
  3. Step 3: Cross multiply
    1,391.74x = 1,920.82 × 794.23
  4. Step 4: Simplify right side
    1,391.74x = 1,525,573.70
  5. Step 5: Solve for x
    x = 1,525,573.70/1,391.74
  6. Step 6: Final answer
    x = 1,096.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.