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Finding the Fourth Proportional to 1,218.93, 1,682.31 and 776.97

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Solution

The fourth proportional to 1,218.93, 1,682.31 and 776.97 is: 1,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.93 : 1,682.31 = 776.97 : x
  2. Step 2: Convert to fraction form
    1,218.93/1,682.31 = 776.97/x
  3. Step 3: Cross multiply
    1,218.93x = 1,682.31 × 776.97
  4. Step 4: Simplify right side
    1,218.93x = 1,307,104.40
  5. Step 5: Solve for x
    x = 1,307,104.40/1,218.93
  6. Step 6: Final answer
    x = 1,072.34

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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.