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Finding the Fourth Proportional to 1,359.45, 1,873.42 and 965.79

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Solution

The fourth proportional to 1,359.45, 1,873.42 and 965.79 is: 1,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.45 : 1,873.42 = 965.79 : x
  2. Step 2: Convert to fraction form
    1,359.45/1,873.42 = 965.79/x
  3. Step 3: Cross multiply
    1,359.45x = 1,873.42 × 965.79
  4. Step 4: Simplify right side
    1,359.45x = 1,809,336.12
  5. Step 5: Solve for x
    x = 1,809,336.12/1,359.45
  6. Step 6: Final answer
    x = 1,330.93

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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.