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Finding the Fourth Proportional to 1,335.45, 1,843.38 and 804.63

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Solution

The fourth proportional to 1,335.45, 1,843.38 and 804.63 is: 1,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.45 : 1,843.38 = 804.63 : x
  2. Step 2: Convert to fraction form
    1,335.45/1,843.38 = 804.63/x
  3. Step 3: Cross multiply
    1,335.45x = 1,843.38 × 804.63
  4. Step 4: Simplify right side
    1,335.45x = 1,483,238.85
  5. Step 5: Solve for x
    x = 1,483,238.85/1,335.45
  6. Step 6: Final answer
    x = 1,110.67

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1.5x scale

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.