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Finding the Fourth Proportional to 398.75, 594.20 and 385.70

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Solution

The fourth proportional to 398.75, 594.20 and 385.70 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.75 : 594.20 = 385.70 : x
  2. Step 2: Convert to fraction form
    398.75/594.20 = 385.70/x
  3. Step 3: Cross multiply
    398.75x = 594.20 × 385.70
  4. Step 4: Simplify right side
    398.75x = 229,180.93
  5. Step 5: Solve for x
    x = 229,180.93/398.75
  6. Step 6: Final answer
    x = 574.76

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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.