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Finding the Fourth Proportional to 411.60, 620.62 and 360.40

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Solution

The fourth proportional to 411.60, 620.62 and 360.40 is: 543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.60 : 620.62 = 360.40 : x
  2. Step 2: Convert to fraction form
    411.60/620.62 = 360.40/x
  3. Step 3: Cross multiply
    411.60x = 620.62 × 360.40
  4. Step 4: Simplify right side
    411.60x = 223,671.45
  5. Step 5: Solve for x
    x = 223,671.45/411.60
  6. Step 6: Final answer
    x = 543.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.