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Finding the Fourth Proportional to 578.22, 799.11 and 461.58

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Solution

The fourth proportional to 578.22, 799.11 and 461.58 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 799.11 = 461.58 : x
  2. Step 2: Convert to fraction form
    578.22/799.11 = 461.58/x
  3. Step 3: Cross multiply
    578.22x = 799.11 × 461.58
  4. Step 4: Simplify right side
    578.22x = 368,853.19
  5. Step 5: Solve for x
    x = 368,853.19/578.22
  6. Step 6: Final answer
    x = 637.91

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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.