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Finding the Fourth Proportional to 1,756.43, 2,634.39 and 523.61

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Solution

The fourth proportional to 1,756.43, 2,634.39 and 523.61 is: 785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.43 : 2,634.39 = 523.61 : x
  2. Step 2: Convert to fraction form
    1,756.43/2,634.39 = 523.61/x
  3. Step 3: Cross multiply
    1,756.43x = 2,634.39 × 523.61
  4. Step 4: Simplify right side
    1,756.43x = 1,379,392.95
  5. Step 5: Solve for x
    x = 1,379,392.95/1,756.43
  6. Step 6: Final answer
    x = 785.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.