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Finding the Fourth Proportional to 1,297.05, 1,945.56 and 777.20

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Solution

The fourth proportional to 1,297.05, 1,945.56 and 777.20 is: 1,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.05 : 1,945.56 = 777.20 : x
  2. Step 2: Convert to fraction form
    1,297.05/1,945.56 = 777.20/x
  3. Step 3: Cross multiply
    1,297.05x = 1,945.56 × 777.20
  4. Step 4: Simplify right side
    1,297.05x = 1,512,094.10
  5. Step 5: Solve for x
    x = 1,512,094.10/1,297.05
  6. Step 6: Final answer
    x = 1,165.79

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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.