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Finding the Fourth Proportional to 1,445.14, 1,994.31 and 815.68

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Solution

The fourth proportional to 1,445.14, 1,994.31 and 815.68 is: 1,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.14 : 1,994.31 = 815.68 : x
  2. Step 2: Convert to fraction form
    1,445.14/1,994.31 = 815.68/x
  3. Step 3: Cross multiply
    1,445.14x = 1,994.31 × 815.68
  4. Step 4: Simplify right side
    1,445.14x = 1,626,704.73
  5. Step 5: Solve for x
    x = 1,626,704.73/1,445.14
  6. Step 6: Final answer
    x = 1,125.64

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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.