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Finding the Fourth Proportional to 568.24, 784.47 and 382.70

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Solution

The fourth proportional to 568.24, 784.47 and 382.70 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.24 : 784.47 = 382.70 : x
  2. Step 2: Convert to fraction form
    568.24/784.47 = 382.70/x
  3. Step 3: Cross multiply
    568.24x = 784.47 × 382.70
  4. Step 4: Simplify right side
    568.24x = 300,214.76
  5. Step 5: Solve for x
    x = 300,214.76/568.24
  6. Step 6: Final answer
    x = 528.33

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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.