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Finding the Fourth Proportional to 759.77, 1,139.96 and 374.75

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Solution

The fourth proportional to 759.77, 1,139.96 and 374.75 is: 562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.77 : 1,139.96 = 374.75 : x
  2. Step 2: Convert to fraction form
    759.77/1,139.96 = 374.75/x
  3. Step 3: Cross multiply
    759.77x = 1,139.96 × 374.75
  4. Step 4: Simplify right side
    759.77x = 427,198.14
  5. Step 5: Solve for x
    x = 427,198.14/759.77
  6. Step 6: Final answer
    x = 562.27

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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.