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Finding the Fourth Proportional to 428.67, 587.70 and 420.89

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Solution

The fourth proportional to 428.67, 587.70 and 420.89 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.67 : 587.70 = 420.89 : x
  2. Step 2: Convert to fraction form
    428.67/587.70 = 420.89/x
  3. Step 3: Cross multiply
    428.67x = 587.70 × 420.89
  4. Step 4: Simplify right side
    428.67x = 247,354.11
  5. Step 5: Solve for x
    x = 247,354.11/428.67
  6. Step 6: Final answer
    x = 577.03

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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.