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Finding the Fourth Proportional to 578.22, 860.43 and 558.38

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Solution

The fourth proportional to 578.22, 860.43 and 558.38 is: 830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 860.43 = 558.38 : x
  2. Step 2: Convert to fraction form
    578.22/860.43 = 558.38/x
  3. Step 3: Cross multiply
    578.22x = 860.43 × 558.38
  4. Step 4: Simplify right side
    578.22x = 480,442.60
  5. Step 5: Solve for x
    x = 480,442.60/578.22
  6. Step 6: Final answer
    x = 830.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.