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Finding the Fourth Proportional to 619.17, 854.47 and 339.41

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Solution

The fourth proportional to 619.17, 854.47 and 339.41 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.17 : 854.47 = 339.41 : x
  2. Step 2: Convert to fraction form
    619.17/854.47 = 339.41/x
  3. Step 3: Cross multiply
    619.17x = 854.47 × 339.41
  4. Step 4: Simplify right side
    619.17x = 290,010.54
  5. Step 5: Solve for x
    x = 290,010.54/619.17
  6. Step 6: Final answer
    x = 468.38

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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.