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Finding the Fourth Proportional to 976.22, 1,464.33 and 399.09

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Solution

The fourth proportional to 976.22, 1,464.33 and 399.09 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 1,464.33 = 399.09 : x
  2. Step 2: Convert to fraction form
    976.22/1,464.33 = 399.09/x
  3. Step 3: Cross multiply
    976.22x = 1,464.33 × 399.09
  4. Step 4: Simplify right side
    976.22x = 584,404.95
  5. Step 5: Solve for x
    x = 584,404.95/976.22
  6. Step 6: Final answer
    x = 598.64

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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.