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Finding the Fourth Proportional to 568.72, 784.37 and 490.96

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Solution

The fourth proportional to 568.72, 784.37 and 490.96 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.72 : 784.37 = 490.96 : x
  2. Step 2: Convert to fraction form
    568.72/784.37 = 490.96/x
  3. Step 3: Cross multiply
    568.72x = 784.37 × 490.96
  4. Step 4: Simplify right side
    568.72x = 385,087.92
  5. Step 5: Solve for x
    x = 385,087.92/568.72
  6. Step 6: Final answer
    x = 677.12

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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.