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Finding the Fourth Proportional to 1,445.15, 1,994.20 and 815.75

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Solution

The fourth proportional to 1,445.15, 1,994.20 and 815.75 is: 1,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.15 : 1,994.20 = 815.75 : x
  2. Step 2: Convert to fraction form
    1,445.15/1,994.20 = 815.75/x
  3. Step 3: Cross multiply
    1,445.15x = 1,994.20 × 815.75
  4. Step 4: Simplify right side
    1,445.15x = 1,626,771.60
  5. Step 5: Solve for x
    x = 1,626,771.60/1,445.15
  6. Step 6: Final answer
    x = 1,125.67

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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.