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Finding the Fourth Proportional to 748.98, 1,033.09 and 650.57

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Solution

The fourth proportional to 748.98, 1,033.09 and 650.57 is: 897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,033.09 = 650.57 : x
  2. Step 2: Convert to fraction form
    748.98/1,033.09 = 650.57/x
  3. Step 3: Cross multiply
    748.98x = 1,033.09 × 650.57
  4. Step 4: Simplify right side
    748.98x = 672,090.57
  5. Step 5: Solve for x
    x = 672,090.57/748.98
  6. Step 6: Final answer
    x = 897.34

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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.