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Finding the Fourth Proportional to 1,384.11, 1,909.86 and 794.58

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Solution

The fourth proportional to 1,384.11, 1,909.86 and 794.58 is: 1,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.11 : 1,909.86 = 794.58 : x
  2. Step 2: Convert to fraction form
    1,384.11/1,909.86 = 794.58/x
  3. Step 3: Cross multiply
    1,384.11x = 1,909.86 × 794.58
  4. Step 4: Simplify right side
    1,384.11x = 1,517,536.56
  5. Step 5: Solve for x
    x = 1,517,536.56/1,384.11
  6. Step 6: Final answer
    x = 1,096.40

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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.