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Finding the Fourth Proportional to 1,297, 1,942.56 and 775.97

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Solution

The fourth proportional to 1,297, 1,942.56 and 775.97 is: 1,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297 : 1,942.56 = 775.97 : x
  2. Step 2: Convert to fraction form
    1,297/1,942.56 = 775.97/x
  3. Step 3: Cross multiply
    1,297x = 1,942.56 × 775.97
  4. Step 4: Simplify right side
    1,297x = 1,507,368.28
  5. Step 5: Solve for x
    x = 1,507,368.28/1,297
  6. Step 6: Final answer
    x = 1,162.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.