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Finding the Fourth Proportional to 1,258.85, 1,887.53 and 381.09

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Solution

The fourth proportional to 1,258.85, 1,887.53 and 381.09 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.85 : 1,887.53 = 381.09 : x
  2. Step 2: Convert to fraction form
    1,258.85/1,887.53 = 381.09/x
  3. Step 3: Cross multiply
    1,258.85x = 1,887.53 × 381.09
  4. Step 4: Simplify right side
    1,258.85x = 719,318.81
  5. Step 5: Solve for x
    x = 719,318.81/1,258.85
  6. Step 6: Final answer
    x = 571.41

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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.