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Finding the Fourth Proportional to 619.06, 854.29 and 339.29

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Solution

The fourth proportional to 619.06, 854.29 and 339.29 is: 468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.06 : 854.29 = 339.29 : x
  2. Step 2: Convert to fraction form
    619.06/854.29 = 339.29/x
  3. Step 3: Cross multiply
    619.06x = 854.29 × 339.29
  4. Step 4: Simplify right side
    619.06x = 289,846.93
  5. Step 5: Solve for x
    x = 289,846.93/619.06
  6. Step 6: Final answer
    x = 468.21

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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.