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Finding the Fourth Proportional to 422.55, 578.89 and 406.76

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Solution

The fourth proportional to 422.55, 578.89 and 406.76 is: 557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.55 : 578.89 = 406.76 : x
  2. Step 2: Convert to fraction form
    422.55/578.89 = 406.76/x
  3. Step 3: Cross multiply
    422.55x = 578.89 × 406.76
  4. Step 4: Simplify right side
    422.55x = 235,465.82
  5. Step 5: Solve for x
    x = 235,465.82/422.55
  6. Step 6: Final answer
    x = 557.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.