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Finding the Fourth Proportional to 1,245.51, 1,717.20 and 851.85

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Solution

The fourth proportional to 1,245.51, 1,717.20 and 851.85 is: 1,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.51 : 1,717.20 = 851.85 : x
  2. Step 2: Convert to fraction form
    1,245.51/1,717.20 = 851.85/x
  3. Step 3: Cross multiply
    1,245.51x = 1,717.20 × 851.85
  4. Step 4: Simplify right side
    1,245.51x = 1,462,796.82
  5. Step 5: Solve for x
    x = 1,462,796.82/1,245.51
  6. Step 6: Final answer
    x = 1,174.46

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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.