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Finding the Fourth Proportional to 855.76, 1,277.45 and 751.96

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Solution

The fourth proportional to 855.76, 1,277.45 and 751.96 is: 1,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.76 : 1,277.45 = 751.96 : x
  2. Step 2: Convert to fraction form
    855.76/1,277.45 = 751.96/x
  3. Step 3: Cross multiply
    855.76x = 1,277.45 × 751.96
  4. Step 4: Simplify right side
    855.76x = 960,589.21
  5. Step 5: Solve for x
    x = 960,589.21/855.76
  6. Step 6: Final answer
    x = 1,122.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.