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Finding the Fourth Proportional to 748.12, 1,032.28 and 433.23

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Solution

The fourth proportional to 748.12, 1,032.28 and 433.23 is: 597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.12 : 1,032.28 = 433.23 : x
  2. Step 2: Convert to fraction form
    748.12/1,032.28 = 433.23/x
  3. Step 3: Cross multiply
    748.12x = 1,032.28 × 433.23
  4. Step 4: Simplify right side
    748.12x = 447,214.66
  5. Step 5: Solve for x
    x = 447,214.66/748.12
  6. Step 6: Final answer
    x = 597.78

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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.