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Finding the Fourth Proportional to 772.09, 1,155.87 and 511.60

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Solution

The fourth proportional to 772.09, 1,155.87 and 511.60 is: 765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.09 : 1,155.87 = 511.60 : x
  2. Step 2: Convert to fraction form
    772.09/1,155.87 = 511.60/x
  3. Step 3: Cross multiply
    772.09x = 1,155.87 × 511.60
  4. Step 4: Simplify right side
    772.09x = 591,343.09
  5. Step 5: Solve for x
    x = 591,343.09/772.09
  6. Step 6: Final answer
    x = 765.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.