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Finding the Fourth Proportional to 812.55, 1,140.45 and 812.55

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Solution

The fourth proportional to 812.55, 1,140.45 and 812.55 is: 1,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.55 : 1,140.45 = 812.55 : x
  2. Step 2: Convert to fraction form
    812.55/1,140.45 = 812.55/x
  3. Step 3: Cross multiply
    812.55x = 1,140.45 × 812.55
  4. Step 4: Simplify right side
    812.55x = 926,672.65
  5. Step 5: Solve for x
    x = 926,672.65/812.55
  6. Step 6: Final answer
    x = 1,140.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.