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Finding the Fourth Proportional to 407.48, 612.21 and 398.82

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Solution

The fourth proportional to 407.48, 612.21 and 398.82 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 612.21 = 398.82 : x
  2. Step 2: Convert to fraction form
    407.48/612.21 = 398.82/x
  3. Step 3: Cross multiply
    407.48x = 612.21 × 398.82
  4. Step 4: Simplify right side
    407.48x = 244,163.14
  5. Step 5: Solve for x
    x = 244,163.14/407.48
  6. Step 6: Final answer
    x = 599.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.