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Finding the Fourth Proportional to 1,215.82, 1,676.67 and 772.93

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Solution

The fourth proportional to 1,215.82, 1,676.67 and 772.93 is: 1,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.82 : 1,676.67 = 772.93 : x
  2. Step 2: Convert to fraction form
    1,215.82/1,676.67 = 772.93/x
  3. Step 3: Cross multiply
    1,215.82x = 1,676.67 × 772.93
  4. Step 4: Simplify right side
    1,215.82x = 1,295,948.54
  5. Step 5: Solve for x
    x = 1,295,948.54/1,215.82
  6. Step 6: Final answer
    x = 1,065.90

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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.