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Finding the Fourth Proportional to 1,329.98, 1,986.03 and 1,157.09

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Solution

The fourth proportional to 1,329.98, 1,986.03 and 1,157.09 is: 1,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.98 : 1,986.03 = 1,157.09 : x
  2. Step 2: Convert to fraction form
    1,329.98/1,986.03 = 1,157.09/x
  3. Step 3: Cross multiply
    1,329.98x = 1,986.03 × 1,157.09
  4. Step 4: Simplify right side
    1,329.98x = 2,298,005.52
  5. Step 5: Solve for x
    x = 2,298,005.52/1,329.98
  6. Step 6: Final answer
    x = 1,727.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.