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Finding the Fourth Proportional to 619.25, 854.58 and 343.25

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Solution

The fourth proportional to 619.25, 854.58 and 343.25 is: 473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.25 : 854.58 = 343.25 : x
  2. Step 2: Convert to fraction form
    619.25/854.58 = 343.25/x
  3. Step 3: Cross multiply
    619.25x = 854.58 × 343.25
  4. Step 4: Simplify right side
    619.25x = 293,334.59
  5. Step 5: Solve for x
    x = 293,334.59/619.25
  6. Step 6: Final answer
    x = 473.69

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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.