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Finding the Fourth Proportional to 755.86, 1,128.04 and 736.42

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Solution

The fourth proportional to 755.86, 1,128.04 and 736.42 is: 1,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.86 : 1,128.04 = 736.42 : x
  2. Step 2: Convert to fraction form
    755.86/1,128.04 = 736.42/x
  3. Step 3: Cross multiply
    755.86x = 1,128.04 × 736.42
  4. Step 4: Simplify right side
    755.86x = 830,711.22
  5. Step 5: Solve for x
    x = 830,711.22/755.86
  6. Step 6: Final answer
    x = 1,099.03

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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.