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Finding the Fourth Proportional to 1,384.30, 1,910.37 and 794.86

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Solution

The fourth proportional to 1,384.30, 1,910.37 and 794.86 is: 1,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.30 : 1,910.37 = 794.86 : x
  2. Step 2: Convert to fraction form
    1,384.30/1,910.37 = 794.86/x
  3. Step 3: Cross multiply
    1,384.30x = 1,910.37 × 794.86
  4. Step 4: Simplify right side
    1,384.30x = 1,518,476.70
  5. Step 5: Solve for x
    x = 1,518,476.70/1,384.30
  6. Step 6: Final answer
    x = 1,096.93

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