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Finding the Fourth Proportional to 568.49, 784.15 and 393.80

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Solution

The fourth proportional to 568.49, 784.15 and 393.80 is: 543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.49 : 784.15 = 393.80 : x
  2. Step 2: Convert to fraction form
    568.49/784.15 = 393.80/x
  3. Step 3: Cross multiply
    568.49x = 784.15 × 393.80
  4. Step 4: Simplify right side
    568.49x = 308,793.36
  5. Step 5: Solve for x
    x = 308,793.36/568.49
  6. Step 6: Final answer
    x = 543.19

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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.