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Finding the Fourth Proportional to 442, 609.78 and 405.28

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Solution

The fourth proportional to 442, 609.78 and 405.28 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 609.78 = 405.28 : x
  2. Step 2: Convert to fraction form
    442/609.78 = 405.28/x
  3. Step 3: Cross multiply
    442x = 609.78 × 405.28
  4. Step 4: Simplify right side
    442x = 247,131.64
  5. Step 5: Solve for x
    x = 247,131.64/442
  6. Step 6: Final answer
    x = 559.12

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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.