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Finding the Fourth Proportional to 611.40, 843.74 and 362.63

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Solution

The fourth proportional to 611.40, 843.74 and 362.63 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.40 : 843.74 = 362.63 : x
  2. Step 2: Convert to fraction form
    611.40/843.74 = 362.63/x
  3. Step 3: Cross multiply
    611.40x = 843.74 × 362.63
  4. Step 4: Simplify right side
    611.40x = 305,965.44
  5. Step 5: Solve for x
    x = 305,965.44/611.40
  6. Step 6: Final answer
    x = 500.43

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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.