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Finding the Fourth Proportional to 568, 783.52 and 393.28

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Solution

The fourth proportional to 568, 783.52 and 393.28 is: 542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568 : 783.52 = 393.28 : x
  2. Step 2: Convert to fraction form
    568/783.52 = 393.28/x
  3. Step 3: Cross multiply
    568x = 783.52 × 393.28
  4. Step 4: Simplify right side
    568x = 308,142.75
  5. Step 5: Solve for x
    x = 308,142.75/568
  6. Step 6: Final answer
    x = 542.50

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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.