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Finding the Fourth Proportional to 410.75, 611.73 and 396.39

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Solution

The fourth proportional to 410.75, 611.73 and 396.39 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 611.73 = 396.39 : x
  2. Step 2: Convert to fraction form
    410.75/611.73 = 396.39/x
  3. Step 3: Cross multiply
    410.75x = 611.73 × 396.39
  4. Step 4: Simplify right side
    410.75x = 242,483.65
  5. Step 5: Solve for x
    x = 242,483.65/410.75
  6. Step 6: Final answer
    x = 590.35

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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.