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Finding the Fourth Proportional to 976.89, 1,466.28 and 429.27

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Solution

The fourth proportional to 976.89, 1,466.28 and 429.27 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.89 : 1,466.28 = 429.27 : x
  2. Step 2: Convert to fraction form
    976.89/1,466.28 = 429.27/x
  3. Step 3: Cross multiply
    976.89x = 1,466.28 × 429.27
  4. Step 4: Simplify right side
    976.89x = 629,430.02
  5. Step 5: Solve for x
    x = 629,430.02/976.89
  6. Step 6: Final answer
    x = 644.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.