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Finding the Fourth Proportional to 751.96, 1,119.20 and 746.02

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Solution

The fourth proportional to 751.96, 1,119.20 and 746.02 is: 1,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.96 : 1,119.20 = 746.02 : x
  2. Step 2: Convert to fraction form
    751.96/1,119.20 = 746.02/x
  3. Step 3: Cross multiply
    751.96x = 1,119.20 × 746.02
  4. Step 4: Simplify right side
    751.96x = 834,945.58
  5. Step 5: Solve for x
    x = 834,945.58/751.96
  6. Step 6: Final answer
    x = 1,110.36

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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.