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Finding the Fourth Proportional to 855.77, 1,276.53 and 773.69

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Solution

The fourth proportional to 855.77, 1,276.53 and 773.69 is: 1,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.77 : 1,276.53 = 773.69 : x
  2. Step 2: Convert to fraction form
    855.77/1,276.53 = 773.69/x
  3. Step 3: Cross multiply
    855.77x = 1,276.53 × 773.69
  4. Step 4: Simplify right side
    855.77x = 987,629.21
  5. Step 5: Solve for x
    x = 987,629.21/855.77
  6. Step 6: Final answer
    x = 1,154.09

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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.