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Finding the Fourth Proportional to 619.30, 854.61 and 339.53

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Solution

The fourth proportional to 619.30, 854.61 and 339.53 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.30 : 854.61 = 339.53 : x
  2. Step 2: Convert to fraction form
    619.30/854.61 = 339.53/x
  3. Step 3: Cross multiply
    619.30x = 854.61 × 339.53
  4. Step 4: Simplify right side
    619.30x = 290,165.73
  5. Step 5: Solve for x
    x = 290,165.73/619.30
  6. Step 6: Final answer
    x = 468.54

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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.