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Finding the Fourth Proportional to 411.54, 567.57 and 300.84

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Solution

The fourth proportional to 411.54, 567.57 and 300.84 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.54 : 567.57 = 300.84 : x
  2. Step 2: Convert to fraction form
    411.54/567.57 = 300.84/x
  3. Step 3: Cross multiply
    411.54x = 567.57 × 300.84
  4. Step 4: Simplify right side
    411.54x = 170,747.76
  5. Step 5: Solve for x
    x = 170,747.76/411.54
  6. Step 6: Final answer
    x = 414.90

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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.