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Finding the Fourth Proportional to 503.39, 755.26 and 454.86

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Solution

The fourth proportional to 503.39, 755.26 and 454.86 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.39 : 755.26 = 454.86 : x
  2. Step 2: Convert to fraction form
    503.39/755.26 = 454.86/x
  3. Step 3: Cross multiply
    503.39x = 755.26 × 454.86
  4. Step 4: Simplify right side
    503.39x = 343,536.43
  5. Step 5: Solve for x
    x = 343,536.43/503.39
  6. Step 6: Final answer
    x = 682.44

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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.