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Finding the Fourth Proportional to 759.58, 1,139.17 and 369.37

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Solution

The fourth proportional to 759.58, 1,139.17 and 369.37 is: 553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,139.17 = 369.37 : x
  2. Step 2: Convert to fraction form
    759.58/1,139.17 = 369.37/x
  3. Step 3: Cross multiply
    759.58x = 1,139.17 × 369.37
  4. Step 4: Simplify right side
    759.58x = 420,775.22
  5. Step 5: Solve for x
    x = 420,775.22/759.58
  6. Step 6: Final answer
    x = 553.96

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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.