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Finding the Fourth Proportional to 750.74, 1,120.56 and 704.57

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Solution

The fourth proportional to 750.74, 1,120.56 and 704.57 is: 1,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.74 : 1,120.56 = 704.57 : x
  2. Step 2: Convert to fraction form
    750.74/1,120.56 = 704.57/x
  3. Step 3: Cross multiply
    750.74x = 1,120.56 × 704.57
  4. Step 4: Simplify right side
    750.74x = 789,509.44
  5. Step 5: Solve for x
    x = 789,509.44/750.74
  6. Step 6: Final answer
    x = 1,051.64

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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.