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Finding the Fourth Proportional to 506.08, 697.62 and 374.86

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Solution

The fourth proportional to 506.08, 697.62 and 374.86 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 697.62 = 374.86 : x
  2. Step 2: Convert to fraction form
    506.08/697.62 = 374.86/x
  3. Step 3: Cross multiply
    506.08x = 697.62 × 374.86
  4. Step 4: Simplify right side
    506.08x = 261,509.83
  5. Step 5: Solve for x
    x = 261,509.83/506.08
  6. Step 6: Final answer
    x = 516.74

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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.