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Finding the Fourth Proportional to 976.33, 1,460.85 and 965.40

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Solution

The fourth proportional to 976.33, 1,460.85 and 965.40 is: 1,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.33 : 1,460.85 = 965.40 : x
  2. Step 2: Convert to fraction form
    976.33/1,460.85 = 965.40/x
  3. Step 3: Cross multiply
    976.33x = 1,460.85 × 965.40
  4. Step 4: Simplify right side
    976.33x = 1,410,300.92
  5. Step 5: Solve for x
    x = 1,410,300.92/976.33
  6. Step 6: Final answer
    x = 1,444.49

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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.