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Finding the Fourth Proportional to 1,383.80, 1,909.77 and 794.32

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Solution

The fourth proportional to 1,383.80, 1,909.77 and 794.32 is: 1,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.80 : 1,909.77 = 794.32 : x
  2. Step 2: Convert to fraction form
    1,383.80/1,909.77 = 794.32/x
  3. Step 3: Cross multiply
    1,383.80x = 1,909.77 × 794.32
  4. Step 4: Simplify right side
    1,383.80x = 1,516,963.73
  5. Step 5: Solve for x
    x = 1,516,963.73/1,383.80
  6. Step 6: Final answer
    x = 1,096.23

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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.