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Finding the Fourth Proportional to 748.88, 1,033.43 and 469.27

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Solution

The fourth proportional to 748.88, 1,033.43 and 469.27 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.88 : 1,033.43 = 469.27 : x
  2. Step 2: Convert to fraction form
    748.88/1,033.43 = 469.27/x
  3. Step 3: Cross multiply
    748.88x = 1,033.43 × 469.27
  4. Step 4: Simplify right side
    748.88x = 484,952.20
  5. Step 5: Solve for x
    x = 484,952.20/748.88
  6. Step 6: Final answer
    x = 647.57

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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.