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Finding the Fourth Proportional to 556.17, 767.57 and 323.25

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Solution

The fourth proportional to 556.17, 767.57 and 323.25 is: 446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.17 : 767.57 = 323.25 : x
  2. Step 2: Convert to fraction form
    556.17/767.57 = 323.25/x
  3. Step 3: Cross multiply
    556.17x = 767.57 × 323.25
  4. Step 4: Simplify right side
    556.17x = 248,115.39
  5. Step 5: Solve for x
    x = 248,115.39/556.17
  6. Step 6: Final answer
    x = 446.11

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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.