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Finding the Fourth Proportional to 412.48, 615.78 and 398.07

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Solution

The fourth proportional to 412.48, 615.78 and 398.07 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 615.78 = 398.07 : x
  2. Step 2: Convert to fraction form
    412.48/615.78 = 398.07/x
  3. Step 3: Cross multiply
    412.48x = 615.78 × 398.07
  4. Step 4: Simplify right side
    412.48x = 245,121.98
  5. Step 5: Solve for x
    x = 245,121.98/412.48
  6. Step 6: Final answer
    x = 594.26

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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.