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Finding the Fourth Proportional to 412.65, 615.33 and 408.94

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Solution

The fourth proportional to 412.65, 615.33 and 408.94 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.65 : 615.33 = 408.94 : x
  2. Step 2: Convert to fraction form
    412.65/615.33 = 408.94/x
  3. Step 3: Cross multiply
    412.65x = 615.33 × 408.94
  4. Step 4: Simplify right side
    412.65x = 251,631.51
  5. Step 5: Solve for x
    x = 251,631.51/412.65
  6. Step 6: Final answer
    x = 609.79

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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.