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Finding the Fourth Proportional to 411.23, 613.07 and 364.75

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Solution

The fourth proportional to 411.23, 613.07 and 364.75 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.23 : 613.07 = 364.75 : x
  2. Step 2: Convert to fraction form
    411.23/613.07 = 364.75/x
  3. Step 3: Cross multiply
    411.23x = 613.07 × 364.75
  4. Step 4: Simplify right side
    411.23x = 223,618.74
  5. Step 5: Solve for x
    x = 223,618.74/411.23
  6. Step 6: Final answer
    x = 543.78

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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.