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Finding the Fourth Proportional to 976.25, 1,464.48 and 245.84

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Solution

The fourth proportional to 976.25, 1,464.48 and 245.84 is: 368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.25 : 1,464.48 = 245.84 : x
  2. Step 2: Convert to fraction form
    976.25/1,464.48 = 245.84/x
  3. Step 3: Cross multiply
    976.25x = 1,464.48 × 245.84
  4. Step 4: Simplify right side
    976.25x = 360,020.44
  5. Step 5: Solve for x
    x = 360,020.44/976.25
  6. Step 6: Final answer
    x = 368.78

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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.