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Finding the Fourth Proportional to 1,138.89, 1,708.44 and 305.94

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Solution

The fourth proportional to 1,138.89, 1,708.44 and 305.94 is: 458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.89 : 1,708.44 = 305.94 : x
  2. Step 2: Convert to fraction form
    1,138.89/1,708.44 = 305.94/x
  3. Step 3: Cross multiply
    1,138.89x = 1,708.44 × 305.94
  4. Step 4: Simplify right side
    1,138.89x = 522,680.13
  5. Step 5: Solve for x
    x = 522,680.13/1,138.89
  6. Step 6: Final answer
    x = 458.94

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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.