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Finding the Fourth Proportional to 619.46, 853.65 and 462.27

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Solution

The fourth proportional to 619.46, 853.65 and 462.27 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.46 : 853.65 = 462.27 : x
  2. Step 2: Convert to fraction form
    619.46/853.65 = 462.27/x
  3. Step 3: Cross multiply
    619.46x = 853.65 × 462.27
  4. Step 4: Simplify right side
    619.46x = 394,616.79
  5. Step 5: Solve for x
    x = 394,616.79/619.46
  6. Step 6: Final answer
    x = 637.03

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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.