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Finding the Fourth Proportional to 1,245.85, 1,719.89 and 965.45

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Solution

The fourth proportional to 1,245.85, 1,719.89 and 965.45 is: 1,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.85 : 1,719.89 = 965.45 : x
  2. Step 2: Convert to fraction form
    1,245.85/1,719.89 = 965.45/x
  3. Step 3: Cross multiply
    1,245.85x = 1,719.89 × 965.45
  4. Step 4: Simplify right side
    1,245.85x = 1,660,454.37
  5. Step 5: Solve for x
    x = 1,660,454.37/1,245.85
  6. Step 6: Final answer
    x = 1,332.79

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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.