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Finding the Fourth Proportional to 619.39, 854.72 and 339.63

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Solution

The fourth proportional to 619.39, 854.72 and 339.63 is: 468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.39 : 854.72 = 339.63 : x
  2. Step 2: Convert to fraction form
    619.39/854.72 = 339.63/x
  3. Step 3: Cross multiply
    619.39x = 854.72 × 339.63
  4. Step 4: Simplify right side
    619.39x = 290,288.55
  5. Step 5: Solve for x
    x = 290,288.55/619.39
  6. Step 6: Final answer
    x = 468.67

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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.