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Finding the Fourth Proportional to 556.96, 768 and 409.36

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Solution

The fourth proportional to 556.96, 768 and 409.36 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.96 : 768 = 409.36 : x
  2. Step 2: Convert to fraction form
    556.96/768 = 409.36/x
  3. Step 3: Cross multiply
    556.96x = 768 × 409.36
  4. Step 4: Simplify right side
    556.96x = 314,388.48
  5. Step 5: Solve for x
    x = 314,388.48/556.96
  6. Step 6: Final answer
    x = 564.47

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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.