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Finding the Fourth Proportional to 404.92, 608.73 and 374.86

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Solution

The fourth proportional to 404.92, 608.73 and 374.86 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.92 : 608.73 = 374.86 : x
  2. Step 2: Convert to fraction form
    404.92/608.73 = 374.86/x
  3. Step 3: Cross multiply
    404.92x = 608.73 × 374.86
  4. Step 4: Simplify right side
    404.92x = 228,188.53
  5. Step 5: Solve for x
    x = 228,188.53/404.92
  6. Step 6: Final answer
    x = 563.54

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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.