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Finding the Fourth Proportional to 2,234.14, 3,351.58 and 772.90

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Solution

The fourth proportional to 2,234.14, 3,351.58 and 772.90 is: 1,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.14 : 3,351.58 = 772.90 : x
  2. Step 2: Convert to fraction form
    2,234.14/3,351.58 = 772.90/x
  3. Step 3: Cross multiply
    2,234.14x = 3,351.58 × 772.90
  4. Step 4: Simplify right side
    2,234.14x = 2,590,425.87
  5. Step 5: Solve for x
    x = 2,590,425.87/2,234.14
  6. Step 6: Final answer
    x = 1,159.47

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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.