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Finding the Fourth Proportional to 1,445.36, 1,994.63 and 815.91

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Solution

The fourth proportional to 1,445.36, 1,994.63 and 815.91 is: 1,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.36 : 1,994.63 = 815.91 : x
  2. Step 2: Convert to fraction form
    1,445.36/1,994.63 = 815.91/x
  3. Step 3: Cross multiply
    1,445.36x = 1,994.63 × 815.91
  4. Step 4: Simplify right side
    1,445.36x = 1,627,438.56
  5. Step 5: Solve for x
    x = 1,627,438.56/1,445.36
  6. Step 6: Final answer
    x = 1,125.97

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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.