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Finding the Fourth Proportional to 759.65, 1,138.88 and 297.36

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Solution

The fourth proportional to 759.65, 1,138.88 and 297.36 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.65 : 1,138.88 = 297.36 : x
  2. Step 2: Convert to fraction form
    759.65/1,138.88 = 297.36/x
  3. Step 3: Cross multiply
    759.65x = 1,138.88 × 297.36
  4. Step 4: Simplify right side
    759.65x = 338,655.87
  5. Step 5: Solve for x
    x = 338,655.87/759.65
  6. Step 6: Final answer
    x = 445.81

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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.