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Finding the Fourth Proportional to 1,120.56, 1,678.08 and 772.92

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Solution

The fourth proportional to 1,120.56, 1,678.08 and 772.92 is: 1,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.56 : 1,678.08 = 772.92 : x
  2. Step 2: Convert to fraction form
    1,120.56/1,678.08 = 772.92/x
  3. Step 3: Cross multiply
    1,120.56x = 1,678.08 × 772.92
  4. Step 4: Simplify right side
    1,120.56x = 1,297,021.59
  5. Step 5: Solve for x
    x = 1,297,021.59/1,120.56
  6. Step 6: Final answer
    x = 1,157.48

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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.