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Finding the Fourth Proportional to 568.98, 784.68 and 411.56

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Solution

The fourth proportional to 568.98, 784.68 and 411.56 is: 567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.98 : 784.68 = 411.56 : x
  2. Step 2: Convert to fraction form
    568.98/784.68 = 411.56/x
  3. Step 3: Cross multiply
    568.98x = 784.68 × 411.56
  4. Step 4: Simplify right side
    568.98x = 322,942.90
  5. Step 5: Solve for x
    x = 322,942.90/568.98
  6. Step 6: Final answer
    x = 567.58

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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.