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Finding the Fourth Proportional to 411.32, 613.72 and 364.88

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Solution

The fourth proportional to 411.32, 613.72 and 364.88 is: 544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 613.72 = 364.88 : x
  2. Step 2: Convert to fraction form
    411.32/613.72 = 364.88/x
  3. Step 3: Cross multiply
    411.32x = 613.72 × 364.88
  4. Step 4: Simplify right side
    411.32x = 223,934.15
  5. Step 5: Solve for x
    x = 223,934.15/411.32
  6. Step 6: Final answer
    x = 544.43

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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.