Home / 757.20-1,135.26-431.04

Finding the Fourth Proportional to 757.20, 1,135.26 and 431.04

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Solution

The fourth proportional to 757.20, 1,135.26 and 431.04 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.20 : 1,135.26 = 431.04 : x
  2. Step 2: Convert to fraction form
    757.20/1,135.26 = 431.04/x
  3. Step 3: Cross multiply
    757.20x = 1,135.26 × 431.04
  4. Step 4: Simplify right side
    757.20x = 489,342.47
  5. Step 5: Solve for x
    x = 489,342.47/757.20
  6. Step 6: Final answer
    x = 646.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.