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Finding the Fourth Proportional to 976.43, 1,464.63 and 704.25

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Solution

The fourth proportional to 976.43, 1,464.63 and 704.25 is: 1,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.43 : 1,464.63 = 704.25 : x
  2. Step 2: Convert to fraction form
    976.43/1,464.63 = 704.25/x
  3. Step 3: Cross multiply
    976.43x = 1,464.63 × 704.25
  4. Step 4: Simplify right side
    976.43x = 1,031,465.68
  5. Step 5: Solve for x
    x = 1,031,465.68/976.43
  6. Step 6: Final answer
    x = 1,056.37

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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.