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Finding the Fourth Proportional to 568.37, 783.82 and 393.77

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Solution

The fourth proportional to 568.37, 783.82 and 393.77 is: 543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.37 : 783.82 = 393.77 : x
  2. Step 2: Convert to fraction form
    568.37/783.82 = 393.77/x
  3. Step 3: Cross multiply
    568.37x = 783.82 × 393.77
  4. Step 4: Simplify right side
    568.37x = 308,647.25
  5. Step 5: Solve for x
    x = 308,647.25/568.37
  6. Step 6: Final answer
    x = 543.04

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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.