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Finding the Fourth Proportional to 538.38, 806.16 and 505.98

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Solution

The fourth proportional to 538.38, 806.16 and 505.98 is: 757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 806.16 = 505.98 : x
  2. Step 2: Convert to fraction form
    538.38/806.16 = 505.98/x
  3. Step 3: Cross multiply
    538.38x = 806.16 × 505.98
  4. Step 4: Simplify right side
    538.38x = 407,900.84
  5. Step 5: Solve for x
    x = 407,900.84/538.38
  6. Step 6: Final answer
    x = 757.64

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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.