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Finding the Fourth Proportional to 407.04, 606.68 and 396.80

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Solution

The fourth proportional to 407.04, 606.68 and 396.80 is: 591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 606.68 = 396.80 : x
  2. Step 2: Convert to fraction form
    407.04/606.68 = 396.80/x
  3. Step 3: Cross multiply
    407.04x = 606.68 × 396.80
  4. Step 4: Simplify right side
    407.04x = 240,730.62
  5. Step 5: Solve for x
    x = 240,730.62/407.04
  6. Step 6: Final answer
    x = 591.42

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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.