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Finding the Fourth Proportional to 568.75, 784.63 and 382.30

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Solution

The fourth proportional to 568.75, 784.63 and 382.30 is: 527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.75 : 784.63 = 382.30 : x
  2. Step 2: Convert to fraction form
    568.75/784.63 = 382.30/x
  3. Step 3: Cross multiply
    568.75x = 784.63 × 382.30
  4. Step 4: Simplify right side
    568.75x = 299,964.05
  5. Step 5: Solve for x
    x = 299,964.05/568.75
  6. Step 6: Final answer
    x = 527.41

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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.