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Finding the Fourth Proportional to 748.97, 1,033.40 and 438.47

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Solution

The fourth proportional to 748.97, 1,033.40 and 438.47 is: 604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.97 : 1,033.40 = 438.47 : x
  2. Step 2: Convert to fraction form
    748.97/1,033.40 = 438.47/x
  3. Step 3: Cross multiply
    748.97x = 1,033.40 × 438.47
  4. Step 4: Simplify right side
    748.97x = 453,112.71
  5. Step 5: Solve for x
    x = 453,112.71/748.97
  6. Step 6: Final answer
    x = 604.98

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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.