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Finding the Fourth Proportional to 1,171.87, 1,758.05 and 391.94

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Solution

The fourth proportional to 1,171.87, 1,758.05 and 391.94 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.87 : 1,758.05 = 391.94 : x
  2. Step 2: Convert to fraction form
    1,171.87/1,758.05 = 391.94/x
  3. Step 3: Cross multiply
    1,171.87x = 1,758.05 × 391.94
  4. Step 4: Simplify right side
    1,171.87x = 689,049.63
  5. Step 5: Solve for x
    x = 689,049.63/1,171.87
  6. Step 6: Final answer
    x = 587.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.