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Finding the Fourth Proportional to 506.12, 697.58 and 374.84

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Solution

The fourth proportional to 506.12, 697.58 and 374.84 is: 516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 697.58 = 374.84 : x
  2. Step 2: Convert to fraction form
    506.12/697.58 = 374.84/x
  3. Step 3: Cross multiply
    506.12x = 697.58 × 374.84
  4. Step 4: Simplify right side
    506.12x = 261,480.89
  5. Step 5: Solve for x
    x = 261,480.89/506.12
  6. Step 6: Final answer
    x = 516.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.