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Finding the Fourth Proportional to 438.18, 603.83 and 409.63

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Solution

The fourth proportional to 438.18, 603.83 and 409.63 is: 564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.18 : 603.83 = 409.63 : x
  2. Step 2: Convert to fraction form
    438.18/603.83 = 409.63/x
  3. Step 3: Cross multiply
    438.18x = 603.83 × 409.63
  4. Step 4: Simplify right side
    438.18x = 247,346.88
  5. Step 5: Solve for x
    x = 247,346.88/438.18
  6. Step 6: Final answer
    x = 564.49

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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.