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Finding the Fourth Proportional to 757.99, 1,137.19 and 433.59

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Solution

The fourth proportional to 757.99, 1,137.19 and 433.59 is: 650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.99 : 1,137.19 = 433.59 : x
  2. Step 2: Convert to fraction form
    757.99/1,137.19 = 433.59/x
  3. Step 3: Cross multiply
    757.99x = 1,137.19 × 433.59
  4. Step 4: Simplify right side
    757.99x = 493,074.21
  5. Step 5: Solve for x
    x = 493,074.21/757.99
  6. Step 6: Final answer
    x = 650.50

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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.