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Finding the Fourth Proportional to 407.62, 608.18 and 398.27

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Solution

The fourth proportional to 407.62, 608.18 and 398.27 is: 594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.62 : 608.18 = 398.27 : x
  2. Step 2: Convert to fraction form
    407.62/608.18 = 398.27/x
  3. Step 3: Cross multiply
    407.62x = 608.18 × 398.27
  4. Step 4: Simplify right side
    407.62x = 242,219.85
  5. Step 5: Solve for x
    x = 242,219.85/407.62
  6. Step 6: Final answer
    x = 594.23

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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.