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Finding the Fourth Proportional to 1,383.40, 1,909.20 and 794.08

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Solution

The fourth proportional to 1,383.40, 1,909.20 and 794.08 is: 1,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.40 : 1,909.20 = 794.08 : x
  2. Step 2: Convert to fraction form
    1,383.40/1,909.20 = 794.08/x
  3. Step 3: Cross multiply
    1,383.40x = 1,909.20 × 794.08
  4. Step 4: Simplify right side
    1,383.40x = 1,516,057.54
  5. Step 5: Solve for x
    x = 1,516,057.54/1,383.40
  6. Step 6: Final answer
    x = 1,095.89

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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.