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Finding the Fourth Proportional to 855.29, 1,177.40 and 633.83

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Solution

The fourth proportional to 855.29, 1,177.40 and 633.83 is: 872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.29 : 1,177.40 = 633.83 : x
  2. Step 2: Convert to fraction form
    855.29/1,177.40 = 633.83/x
  3. Step 3: Cross multiply
    855.29x = 1,177.40 × 633.83
  4. Step 4: Simplify right side
    855.29x = 746,267.14
  5. Step 5: Solve for x
    x = 746,267.14/855.29
  6. Step 6: Final answer
    x = 872.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.