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Finding the Fourth Proportional to 405.92, 605.93 and 375.84

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Solution

The fourth proportional to 405.92, 605.93 and 375.84 is: 561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 605.93 = 375.84 : x
  2. Step 2: Convert to fraction form
    405.92/605.93 = 375.84/x
  3. Step 3: Cross multiply
    405.92x = 605.93 × 375.84
  4. Step 4: Simplify right side
    405.92x = 227,732.73
  5. Step 5: Solve for x
    x = 227,732.73/405.92
  6. Step 6: Final answer
    x = 561.03

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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.