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Finding the Fourth Proportional to 772.75, 1,157.84 and 512.40

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Solution

The fourth proportional to 772.75, 1,157.84 and 512.40 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 1,157.84 = 512.40 : x
  2. Step 2: Convert to fraction form
    772.75/1,157.84 = 512.40/x
  3. Step 3: Cross multiply
    772.75x = 1,157.84 × 512.40
  4. Step 4: Simplify right side
    772.75x = 593,277.22
  5. Step 5: Solve for x
    x = 593,277.22/772.75
  6. Step 6: Final answer
    x = 767.75

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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.