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Finding the Fourth Proportional to 578.82, 873.39 and 556.32

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Solution

The fourth proportional to 578.82, 873.39 and 556.32 is: 839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 873.39 = 556.32 : x
  2. Step 2: Convert to fraction form
    578.82/873.39 = 556.32/x
  3. Step 3: Cross multiply
    578.82x = 873.39 × 556.32
  4. Step 4: Simplify right side
    578.82x = 485,884.32
  5. Step 5: Solve for x
    x = 485,884.32/578.82
  6. Step 6: Final answer
    x = 839.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.