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Finding the Fourth Proportional to 759.54, 1,130.67 and 755.43

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Solution

The fourth proportional to 759.54, 1,130.67 and 755.43 is: 1,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,130.67 = 755.43 : x
  2. Step 2: Convert to fraction form
    759.54/1,130.67 = 755.43/x
  3. Step 3: Cross multiply
    759.54x = 1,130.67 × 755.43
  4. Step 4: Simplify right side
    759.54x = 854,142.04
  5. Step 5: Solve for x
    x = 854,142.04/759.54
  6. Step 6: Final answer
    x = 1,124.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.