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Finding the Fourth Proportional to 1,384.96, 1,911.16 and 795.44

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Solution

The fourth proportional to 1,384.96, 1,911.16 and 795.44 is: 1,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.96 : 1,911.16 = 795.44 : x
  2. Step 2: Convert to fraction form
    1,384.96/1,911.16 = 795.44/x
  3. Step 3: Cross multiply
    1,384.96x = 1,911.16 × 795.44
  4. Step 4: Simplify right side
    1,384.96x = 1,520,213.11
  5. Step 5: Solve for x
    x = 1,520,213.11/1,384.96
  6. Step 6: Final answer
    x = 1,097.66

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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.