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Finding the Fourth Proportional to 405.28, 604.96 and 376.84

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Solution

The fourth proportional to 405.28, 604.96 and 376.84 is: 562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 604.96 = 376.84 : x
  2. Step 2: Convert to fraction form
    405.28/604.96 = 376.84/x
  3. Step 3: Cross multiply
    405.28x = 604.96 × 376.84
  4. Step 4: Simplify right side
    405.28x = 227,973.13
  5. Step 5: Solve for x
    x = 227,973.13/405.28
  6. Step 6: Final answer
    x = 562.51

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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.