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Finding the Fourth Proportional to 976.64, 1,464.95 and 649.70

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Solution

The fourth proportional to 976.64, 1,464.95 and 649.70 is: 974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.64 : 1,464.95 = 649.70 : x
  2. Step 2: Convert to fraction form
    976.64/1,464.95 = 649.70/x
  3. Step 3: Cross multiply
    976.64x = 1,464.95 × 649.70
  4. Step 4: Simplify right side
    976.64x = 951,767.44
  5. Step 5: Solve for x
    x = 951,767.44/976.64
  6. Step 6: Final answer
    x = 974.54

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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.