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Finding the Fourth Proportional to 451.86, 619.50 and 443.64

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Solution

The fourth proportional to 451.86, 619.50 and 443.64 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.86 : 619.50 = 443.64 : x
  2. Step 2: Convert to fraction form
    451.86/619.50 = 443.64/x
  3. Step 3: Cross multiply
    451.86x = 619.50 × 443.64
  4. Step 4: Simplify right side
    451.86x = 274,834.98
  5. Step 5: Solve for x
    x = 274,834.98/451.86
  6. Step 6: Final answer
    x = 608.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.