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Finding the Fourth Proportional to 1,450.57, 2,176.40 and 873.85

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Solution

The fourth proportional to 1,450.57, 2,176.40 and 873.85 is: 1,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.57 : 2,176.40 = 873.85 : x
  2. Step 2: Convert to fraction form
    1,450.57/2,176.40 = 873.85/x
  3. Step 3: Cross multiply
    1,450.57x = 2,176.40 × 873.85
  4. Step 4: Simplify right side
    1,450.57x = 1,901,847.14
  5. Step 5: Solve for x
    x = 1,901,847.14/1,450.57
  6. Step 6: Final answer
    x = 1,311.10

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1.5x scale

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.