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Finding the Fourth Proportional to 756.66, 1,043.49 and 650.28

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Solution

The fourth proportional to 756.66, 1,043.49 and 650.28 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.66 : 1,043.49 = 650.28 : x
  2. Step 2: Convert to fraction form
    756.66/1,043.49 = 650.28/x
  3. Step 3: Cross multiply
    756.66x = 1,043.49 × 650.28
  4. Step 4: Simplify right side
    756.66x = 678,559.33
  5. Step 5: Solve for x
    x = 678,559.33/756.66
  6. Step 6: Final answer
    x = 896.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.