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Finding the Fourth Proportional to 408.75, 611.70 and 385.06

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Solution

The fourth proportional to 408.75, 611.70 and 385.06 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 611.70 = 385.06 : x
  2. Step 2: Convert to fraction form
    408.75/611.70 = 385.06/x
  3. Step 3: Cross multiply
    408.75x = 611.70 × 385.06
  4. Step 4: Simplify right side
    408.75x = 235,541.20
  5. Step 5: Solve for x
    x = 235,541.20/408.75
  6. Step 6: Final answer
    x = 576.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.