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Finding the Fourth Proportional to 568.94, 785.39 and 347.97

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Solution

The fourth proportional to 568.94, 785.39 and 347.97 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.94 : 785.39 = 347.97 : x
  2. Step 2: Convert to fraction form
    568.94/785.39 = 347.97/x
  3. Step 3: Cross multiply
    568.94x = 785.39 × 347.97
  4. Step 4: Simplify right side
    568.94x = 273,290.42
  5. Step 5: Solve for x
    x = 273,290.42/568.94
  6. Step 6: Final answer
    x = 480.35

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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.