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Finding the Fourth Proportional to 756.93, 1,135.78 and 512.95

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Solution

The fourth proportional to 756.93, 1,135.78 and 512.95 is: 769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.93 : 1,135.78 = 512.95 : x
  2. Step 2: Convert to fraction form
    756.93/1,135.78 = 512.95/x
  3. Step 3: Cross multiply
    756.93x = 1,135.78 × 512.95
  4. Step 4: Simplify right side
    756.93x = 582,598.35
  5. Step 5: Solve for x
    x = 582,598.35/756.93
  6. Step 6: Final answer
    x = 769.69

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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.