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Finding the Fourth Proportional to 405.42, 604.12 and 385.84

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Solution

The fourth proportional to 405.42, 604.12 and 385.84 is: 574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 604.12 = 385.84 : x
  2. Step 2: Convert to fraction form
    405.42/604.12 = 385.84/x
  3. Step 3: Cross multiply
    405.42x = 604.12 × 385.84
  4. Step 4: Simplify right side
    405.42x = 233,093.66
  5. Step 5: Solve for x
    x = 233,093.66/405.42
  6. Step 6: Final answer
    x = 574.94

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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.