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Finding the Fourth Proportional to 578.39, 798.05 and 381.56

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Solution

The fourth proportional to 578.39, 798.05 and 381.56 is: 526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.39 : 798.05 = 381.56 : x
  2. Step 2: Convert to fraction form
    578.39/798.05 = 381.56/x
  3. Step 3: Cross multiply
    578.39x = 798.05 × 381.56
  4. Step 4: Simplify right side
    578.39x = 304,498.06
  5. Step 5: Solve for x
    x = 304,498.06/578.39
  6. Step 6: Final answer
    x = 526.46

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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.