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Finding the Fourth Proportional to 1,391.81, 2,087.91 and 454.46

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Solution

The fourth proportional to 1,391.81, 2,087.91 and 454.46 is: 681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.81 : 2,087.91 = 454.46 : x
  2. Step 2: Convert to fraction form
    1,391.81/2,087.91 = 454.46/x
  3. Step 3: Cross multiply
    1,391.81x = 2,087.91 × 454.46
  4. Step 4: Simplify right side
    1,391.81x = 948,861.14
  5. Step 5: Solve for x
    x = 948,861.14/1,391.81
  6. Step 6: Final answer
    x = 681.75

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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.