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Finding the Fourth Proportional to 435.92, 599.94 and 400.96

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Solution

The fourth proportional to 435.92, 599.94 and 400.96 is: 551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 599.94 = 400.96 : x
  2. Step 2: Convert to fraction form
    435.92/599.94 = 400.96/x
  3. Step 3: Cross multiply
    435.92x = 599.94 × 400.96
  4. Step 4: Simplify right side
    435.92x = 240,551.94
  5. Step 5: Solve for x
    x = 240,551.94/435.92
  6. Step 6: Final answer
    x = 551.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.