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Finding the Fourth Proportional to 759.04, 1,137.76 and 393.44

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Solution

The fourth proportional to 759.04, 1,137.76 and 393.44 is: 589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.04 : 1,137.76 = 393.44 : x
  2. Step 2: Convert to fraction form
    759.04/1,137.76 = 393.44/x
  3. Step 3: Cross multiply
    759.04x = 1,137.76 × 393.44
  4. Step 4: Simplify right side
    759.04x = 447,640.29
  5. Step 5: Solve for x
    x = 447,640.29/759.04
  6. Step 6: Final answer
    x = 589.75

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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.