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Finding the Fourth Proportional to 758.62, 1,138.32 and 756.28

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Solution

The fourth proportional to 758.62, 1,138.32 and 756.28 is: 1,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.62 : 1,138.32 = 756.28 : x
  2. Step 2: Convert to fraction form
    758.62/1,138.32 = 756.28/x
  3. Step 3: Cross multiply
    758.62x = 1,138.32 × 756.28
  4. Step 4: Simplify right side
    758.62x = 860,888.65
  5. Step 5: Solve for x
    x = 860,888.65/758.62
  6. Step 6: Final answer
    x = 1,134.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.