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Finding the Fourth Proportional to 812.60, 1,107.08 and 812.60

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Solution

The fourth proportional to 812.60, 1,107.08 and 812.60 is: 1,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.60 : 1,107.08 = 812.60 : x
  2. Step 2: Convert to fraction form
    812.60/1,107.08 = 812.60/x
  3. Step 3: Cross multiply
    812.60x = 1,107.08 × 812.60
  4. Step 4: Simplify right side
    812.60x = 899,613.21
  5. Step 5: Solve for x
    x = 899,613.21/812.60
  6. Step 6: Final answer
    x = 1,107.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.