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Finding the Fourth Proportional to 468.59, 698.79 and 411.08

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Solution

The fourth proportional to 468.59, 698.79 and 411.08 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 698.79 = 411.08 : x
  2. Step 2: Convert to fraction form
    468.59/698.79 = 411.08/x
  3. Step 3: Cross multiply
    468.59x = 698.79 × 411.08
  4. Step 4: Simplify right side
    468.59x = 287,258.59
  5. Step 5: Solve for x
    x = 287,258.59/468.59
  6. Step 6: Final answer
    x = 613.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.