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Finding the Fourth Proportional to 405.18, 604.81 and 375.12

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Solution

The fourth proportional to 405.18, 604.81 and 375.12 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 604.81 = 375.12 : x
  2. Step 2: Convert to fraction form
    405.18/604.81 = 375.12/x
  3. Step 3: Cross multiply
    405.18x = 604.81 × 375.12
  4. Step 4: Simplify right side
    405.18x = 226,876.33
  5. Step 5: Solve for x
    x = 226,876.33/405.18
  6. Step 6: Final answer
    x = 559.94

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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.