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Finding the Fourth Proportional to 412.69, 615.79 and 403.37

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Solution

The fourth proportional to 412.69, 615.79 and 403.37 is: 601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 615.79 = 403.37 : x
  2. Step 2: Convert to fraction form
    412.69/615.79 = 403.37/x
  3. Step 3: Cross multiply
    412.69x = 615.79 × 403.37
  4. Step 4: Simplify right side
    412.69x = 248,391.21
  5. Step 5: Solve for x
    x = 248,391.21/412.69
  6. Step 6: Final answer
    x = 601.88

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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.