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Finding the Fourth Proportional to 1,314.26, 1,813.68 and 816.60

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Solution

The fourth proportional to 1,314.26, 1,813.68 and 816.60 is: 1,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.26 : 1,813.68 = 816.60 : x
  2. Step 2: Convert to fraction form
    1,314.26/1,813.68 = 816.60/x
  3. Step 3: Cross multiply
    1,314.26x = 1,813.68 × 816.60
  4. Step 4: Simplify right side
    1,314.26x = 1,481,051.09
  5. Step 5: Solve for x
    x = 1,481,051.09/1,314.26
  6. Step 6: Final answer
    x = 1,126.91

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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.