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Finding the Fourth Proportional to 428.85, 587.96 and 421.04

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Solution

The fourth proportional to 428.85, 587.96 and 421.04 is: 577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.85 : 587.96 = 421.04 : x
  2. Step 2: Convert to fraction form
    428.85/587.96 = 421.04/x
  3. Step 3: Cross multiply
    428.85x = 587.96 × 421.04
  4. Step 4: Simplify right side
    428.85x = 247,555.62
  5. Step 5: Solve for x
    x = 247,555.62/428.85
  6. Step 6: Final answer
    x = 577.25

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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.