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Finding the Fourth Proportional to 411.59, 618.06 and 289.82

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Solution

The fourth proportional to 411.59, 618.06 and 289.82 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.59 : 618.06 = 289.82 : x
  2. Step 2: Convert to fraction form
    411.59/618.06 = 289.82/x
  3. Step 3: Cross multiply
    411.59x = 618.06 × 289.82
  4. Step 4: Simplify right side
    411.59x = 179,126.15
  5. Step 5: Solve for x
    x = 179,126.15/411.59
  6. Step 6: Final answer
    x = 435.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.