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Finding the Fourth Proportional to 556.28, 767.82 and 323.48

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Solution

The fourth proportional to 556.28, 767.82 and 323.48 is: 446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.28 : 767.82 = 323.48 : x
  2. Step 2: Convert to fraction form
    556.28/767.82 = 323.48/x
  3. Step 3: Cross multiply
    556.28x = 767.82 × 323.48
  4. Step 4: Simplify right side
    556.28x = 248,374.41
  5. Step 5: Solve for x
    x = 248,374.41/556.28
  6. Step 6: Final answer
    x = 446.49

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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.