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Finding the Fourth Proportional to 568.21, 784.46 and 434.38

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Solution

The fourth proportional to 568.21, 784.46 and 434.38 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.21 : 784.46 = 434.38 : x
  2. Step 2: Convert to fraction form
    568.21/784.46 = 434.38/x
  3. Step 3: Cross multiply
    568.21x = 784.46 × 434.38
  4. Step 4: Simplify right side
    568.21x = 340,753.73
  5. Step 5: Solve for x
    x = 340,753.73/568.21
  6. Step 6: Final answer
    x = 599.70

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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.