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Finding the Fourth Proportional to 412.04, 613.21 and 396.68

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Solution

The fourth proportional to 412.04, 613.21 and 396.68 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.04 : 613.21 = 396.68 : x
  2. Step 2: Convert to fraction form
    412.04/613.21 = 396.68/x
  3. Step 3: Cross multiply
    412.04x = 613.21 × 396.68
  4. Step 4: Simplify right side
    412.04x = 243,248.14
  5. Step 5: Solve for x
    x = 243,248.14/412.04
  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.