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Finding the Fourth Proportional to 748.80, 1,033.62 and 434.21

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Solution

The fourth proportional to 748.80, 1,033.62 and 434.21 is: 599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.80 : 1,033.62 = 434.21 : x
  2. Step 2: Convert to fraction form
    748.80/1,033.62 = 434.21/x
  3. Step 3: Cross multiply
    748.80x = 1,033.62 × 434.21
  4. Step 4: Simplify right side
    748.80x = 448,808.14
  5. Step 5: Solve for x
    x = 448,808.14/748.80
  6. Step 6: Final answer
    x = 599.37

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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.