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Finding the Fourth Proportional to 1,235.80, 1,708.32 and 989.56

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Solution

The fourth proportional to 1,235.80, 1,708.32 and 989.56 is: 1,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.80 : 1,708.32 = 989.56 : x
  2. Step 2: Convert to fraction form
    1,235.80/1,708.32 = 989.56/x
  3. Step 3: Cross multiply
    1,235.80x = 1,708.32 × 989.56
  4. Step 4: Simplify right side
    1,235.80x = 1,690,485.14
  5. Step 5: Solve for x
    x = 1,690,485.14/1,235.80
  6. Step 6: Final answer
    x = 1,367.93

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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.