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Finding the Fourth Proportional to 412.89, 615.27 and 401.04

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Solution

The fourth proportional to 412.89, 615.27 and 401.04 is: 597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 615.27 = 401.04 : x
  2. Step 2: Convert to fraction form
    412.89/615.27 = 401.04/x
  3. Step 3: Cross multiply
    412.89x = 615.27 × 401.04
  4. Step 4: Simplify right side
    412.89x = 246,747.88
  5. Step 5: Solve for x
    x = 246,747.88/412.89
  6. Step 6: Final answer
    x = 597.61

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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.