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Finding the Fourth Proportional to 503.56, 755.29 and 438.85

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Solution

The fourth proportional to 503.56, 755.29 and 438.85 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 755.29 = 438.85 : x
  2. Step 2: Convert to fraction form
    503.56/755.29 = 438.85/x
  3. Step 3: Cross multiply
    503.56x = 755.29 × 438.85
  4. Step 4: Simplify right side
    503.56x = 331,459.02
  5. Step 5: Solve for x
    x = 331,459.02/503.56
  6. Step 6: Final answer
    x = 658.23

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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.