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Finding the Fourth Proportional to 619.05, 854.30 and 339.30

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Solution

The fourth proportional to 619.05, 854.30 and 339.30 is: 468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.05 : 854.30 = 339.30 : x
  2. Step 2: Convert to fraction form
    619.05/854.30 = 339.30/x
  3. Step 3: Cross multiply
    619.05x = 854.30 × 339.30
  4. Step 4: Simplify right side
    619.05x = 289,858.02
  5. Step 5: Solve for x
    x = 289,858.02/619.05
  6. Step 6: Final answer
    x = 468.23

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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.