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Finding the Fourth Proportional to 762.85, 1,144.24 and 531.07

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Solution

The fourth proportional to 762.85, 1,144.24 and 531.07 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.85 : 1,144.24 = 531.07 : x
  2. Step 2: Convert to fraction form
    762.85/1,144.24 = 531.07/x
  3. Step 3: Cross multiply
    762.85x = 1,144.24 × 531.07
  4. Step 4: Simplify right side
    762.85x = 607,671.54
  5. Step 5: Solve for x
    x = 607,671.54/762.85
  6. Step 6: Final answer
    x = 796.58

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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.