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Finding the Fourth Proportional to 976.16, 1,462.40 and 757.12

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Solution

The fourth proportional to 976.16, 1,462.40 and 757.12 is: 1,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.16 : 1,462.40 = 757.12 : x
  2. Step 2: Convert to fraction form
    976.16/1,462.40 = 757.12/x
  3. Step 3: Cross multiply
    976.16x = 1,462.40 × 757.12
  4. Step 4: Simplify right side
    976.16x = 1,107,212.29
  5. Step 5: Solve for x
    x = 1,107,212.29/976.16
  6. Step 6: Final answer
    x = 1,134.25

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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.