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Finding the Fourth Proportional to 411.57, 568.08 and 345.96

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Solution

The fourth proportional to 411.57, 568.08 and 345.96 is: 477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 568.08 = 345.96 : x
  2. Step 2: Convert to fraction form
    411.57/568.08 = 345.96/x
  3. Step 3: Cross multiply
    411.57x = 568.08 × 345.96
  4. Step 4: Simplify right side
    411.57x = 196,532.96
  5. Step 5: Solve for x
    x = 196,532.96/411.57
  6. Step 6: Final answer
    x = 477.52

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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.