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Finding the Fourth Proportional to 1,096.95, 1,513.44 and 782.27

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Solution

The fourth proportional to 1,096.95, 1,513.44 and 782.27 is: 1,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.95 : 1,513.44 = 782.27 : x
  2. Step 2: Convert to fraction form
    1,096.95/1,513.44 = 782.27/x
  3. Step 3: Cross multiply
    1,096.95x = 1,513.44 × 782.27
  4. Step 4: Simplify right side
    1,096.95x = 1,183,918.71
  5. Step 5: Solve for x
    x = 1,183,918.71/1,096.95
  6. Step 6: Final answer
    x = 1,079.28

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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.