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Finding the Fourth Proportional to 976.10, 1,464.29 and 359.73

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Solution

The fourth proportional to 976.10, 1,464.29 and 359.73 is: 539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.10 : 1,464.29 = 359.73 : x
  2. Step 2: Convert to fraction form
    976.10/1,464.29 = 359.73/x
  3. Step 3: Cross multiply
    976.10x = 1,464.29 × 359.73
  4. Step 4: Simplify right side
    976.10x = 526,747.24
  5. Step 5: Solve for x
    x = 526,747.24/976.10
  6. Step 6: Final answer
    x = 539.65

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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.