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Finding the Fourth Proportional to 1,179.83, 1,776.60 and 873.85

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Solution

The fourth proportional to 1,179.83, 1,776.60 and 873.85 is: 1,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.83 : 1,776.60 = 873.85 : x
  2. Step 2: Convert to fraction form
    1,179.83/1,776.60 = 873.85/x
  3. Step 3: Cross multiply
    1,179.83x = 1,776.60 × 873.85
  4. Step 4: Simplify right side
    1,179.83x = 1,552,473.10
  5. Step 5: Solve for x
    x = 1,552,473.10/1,179.83
  6. Step 6: Final answer
    x = 1,315.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.