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Finding the Fourth Proportional to 468.60, 698.80 and 411.08

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Solution

The fourth proportional to 468.60, 698.80 and 411.08 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 698.80 = 411.08 : x
  2. Step 2: Convert to fraction form
    468.60/698.80 = 411.08/x
  3. Step 3: Cross multiply
    468.60x = 698.80 × 411.08
  4. Step 4: Simplify right side
    468.60x = 287,262.70
  5. Step 5: Solve for x
    x = 287,262.70/468.60
  6. Step 6: Final answer
    x = 613.02

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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.