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Finding the Fourth Proportional to 499.86, 746.42 and 395.98

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Solution

The fourth proportional to 499.86, 746.42 and 395.98 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.86 : 746.42 = 395.98 : x
  2. Step 2: Convert to fraction form
    499.86/746.42 = 395.98/x
  3. Step 3: Cross multiply
    499.86x = 746.42 × 395.98
  4. Step 4: Simplify right side
    499.86x = 295,563.55
  5. Step 5: Solve for x
    x = 295,563.55/499.86
  6. Step 6: Final answer
    x = 591.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.