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Finding the Fourth Proportional to 1,329.49, 1,994.31 and 405.08

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Solution

The fourth proportional to 1,329.49, 1,994.31 and 405.08 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.49 : 1,994.31 = 405.08 : x
  2. Step 2: Convert to fraction form
    1,329.49/1,994.31 = 405.08/x
  3. Step 3: Cross multiply
    1,329.49x = 1,994.31 × 405.08
  4. Step 4: Simplify right side
    1,329.49x = 807,855.09
  5. Step 5: Solve for x
    x = 807,855.09/1,329.49
  6. Step 6: Final answer
    x = 607.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.