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Finding the Fourth Proportional to 411.57, 567.72 and 385.83

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Solution

The fourth proportional to 411.57, 567.72 and 385.83 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 567.72 = 385.83 : x
  2. Step 2: Convert to fraction form
    411.57/567.72 = 385.83/x
  3. Step 3: Cross multiply
    411.57x = 567.72 × 385.83
  4. Step 4: Simplify right side
    411.57x = 219,043.41
  5. Step 5: Solve for x
    x = 219,043.41/411.57
  6. Step 6: Final answer
    x = 532.21

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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.