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Finding the Fourth Proportional to 619.08, 854.13 and 397.63

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Solution

The fourth proportional to 619.08, 854.13 and 397.63 is: 548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.08 : 854.13 = 397.63 : x
  2. Step 2: Convert to fraction form
    619.08/854.13 = 397.63/x
  3. Step 3: Cross multiply
    619.08x = 854.13 × 397.63
  4. Step 4: Simplify right side
    619.08x = 339,627.71
  5. Step 5: Solve for x
    x = 339,627.71/619.08
  6. Step 6: Final answer
    x = 548.61

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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.