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Finding the Fourth Proportional to 855.99, 1,277.85 and 763.71

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Solution

The fourth proportional to 855.99, 1,277.85 and 763.71 is: 1,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.99 : 1,277.85 = 763.71 : x
  2. Step 2: Convert to fraction form
    855.99/1,277.85 = 763.71/x
  3. Step 3: Cross multiply
    855.99x = 1,277.85 × 763.71
  4. Step 4: Simplify right side
    855.99x = 975,906.82
  5. Step 5: Solve for x
    x = 975,906.82/855.99
  6. Step 6: Final answer
    x = 1,140.09

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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.