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Finding the Fourth Proportional to 814.45, 1,215.76 and 754.38

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Solution

The fourth proportional to 814.45, 1,215.76 and 754.38 is: 1,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.45 : 1,215.76 = 754.38 : x
  2. Step 2: Convert to fraction form
    814.45/1,215.76 = 754.38/x
  3. Step 3: Cross multiply
    814.45x = 1,215.76 × 754.38
  4. Step 4: Simplify right side
    814.45x = 917,145.03
  5. Step 5: Solve for x
    x = 917,145.03/814.45
  6. Step 6: Final answer
    x = 1,126.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.