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Finding the Fourth Proportional to 1,329.90, 1,994.86 and 464.22

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Solution

The fourth proportional to 1,329.90, 1,994.86 and 464.22 is: 696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.90 : 1,994.86 = 464.22 : x
  2. Step 2: Convert to fraction form
    1,329.90/1,994.86 = 464.22/x
  3. Step 3: Cross multiply
    1,329.90x = 1,994.86 × 464.22
  4. Step 4: Simplify right side
    1,329.90x = 926,053.91
  5. Step 5: Solve for x
    x = 926,053.91/1,329.90
  6. Step 6: Final answer
    x = 696.33

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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.