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Finding the Fourth Proportional to 504.58, 756.77 and 196.43

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Solution

The fourth proportional to 504.58, 756.77 and 196.43 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.58 : 756.77 = 196.43 : x
  2. Step 2: Convert to fraction form
    504.58/756.77 = 196.43/x
  3. Step 3: Cross multiply
    504.58x = 756.77 × 196.43
  4. Step 4: Simplify right side
    504.58x = 148,652.33
  5. Step 5: Solve for x
    x = 148,652.33/504.58
  6. Step 6: Final answer
    x = 294.61

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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.