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Finding the Fourth Proportional to 750.26, 1,028.74 and 676.28

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Solution

The fourth proportional to 750.26, 1,028.74 and 676.28 is: 927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.26 : 1,028.74 = 676.28 : x
  2. Step 2: Convert to fraction form
    750.26/1,028.74 = 676.28/x
  3. Step 3: Cross multiply
    750.26x = 1,028.74 × 676.28
  4. Step 4: Simplify right side
    750.26x = 695,716.29
  5. Step 5: Solve for x
    x = 695,716.29/750.26
  6. Step 6: Final answer
    x = 927.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.