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Finding the Fourth Proportional to 814.56, 1,126.08 and 780.36

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Solution

The fourth proportional to 814.56, 1,126.08 and 780.36 is: 1,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.56 : 1,126.08 = 780.36 : x
  2. Step 2: Convert to fraction form
    814.56/1,126.08 = 780.36/x
  3. Step 3: Cross multiply
    814.56x = 1,126.08 × 780.36
  4. Step 4: Simplify right side
    814.56x = 878,747.79
  5. Step 5: Solve for x
    x = 878,747.79/814.56
  6. Step 6: Final answer
    x = 1,078.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.