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Finding the Fourth Proportional to 976.22, 1,464.34 and 359.94

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Solution

The fourth proportional to 976.22, 1,464.34 and 359.94 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 1,464.34 = 359.94 : x
  2. Step 2: Convert to fraction form
    976.22/1,464.34 = 359.94/x
  3. Step 3: Cross multiply
    976.22x = 1,464.34 × 359.94
  4. Step 4: Simplify right side
    976.22x = 527,074.54
  5. Step 5: Solve for x
    x = 527,074.54/976.22
  6. Step 6: Final answer
    x = 539.91

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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.