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Finding the Fourth Proportional to 976.89, 1,462.46 and 610.57

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Solution

The fourth proportional to 976.89, 1,462.46 and 610.57 is: 914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.89 : 1,462.46 = 610.57 : x
  2. Step 2: Convert to fraction form
    976.89/1,462.46 = 610.57/x
  3. Step 3: Cross multiply
    976.89x = 1,462.46 × 610.57
  4. Step 4: Simplify right side
    976.89x = 892,926.89
  5. Step 5: Solve for x
    x = 892,926.89/976.89
  6. Step 6: Final answer
    x = 914.05

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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.