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Finding the Fourth Proportional to 815.45, 1,217.26 and 755.38

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Solution

The fourth proportional to 815.45, 1,217.26 and 755.38 is: 1,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.45 : 1,217.26 = 755.38 : x
  2. Step 2: Convert to fraction form
    815.45/1,217.26 = 755.38/x
  3. Step 3: Cross multiply
    815.45x = 1,217.26 × 755.38
  4. Step 4: Simplify right side
    815.45x = 919,484.00
  5. Step 5: Solve for x
    x = 919,484.00/815.45
  6. Step 6: Final answer
    x = 1,127.58

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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.