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Finding the Fourth Proportional to 976.94, 1,463.88 and 610.62

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Solution

The fourth proportional to 976.94, 1,463.88 and 610.62 is: 914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.94 : 1,463.88 = 610.62 : x
  2. Step 2: Convert to fraction form
    976.94/1,463.88 = 610.62/x
  3. Step 3: Cross multiply
    976.94x = 1,463.88 × 610.62
  4. Step 4: Simplify right side
    976.94x = 893,874.41
  5. Step 5: Solve for x
    x = 893,874.41/976.94
  6. Step 6: Final answer
    x = 914.97

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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.