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Finding the Fourth Proportional to 1,137.71, 1,705.96 and 406.89

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Solution

The fourth proportional to 1,137.71, 1,705.96 and 406.89 is: 610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.71 : 1,705.96 = 406.89 : x
  2. Step 2: Convert to fraction form
    1,137.71/1,705.96 = 406.89/x
  3. Step 3: Cross multiply
    1,137.71x = 1,705.96 × 406.89
  4. Step 4: Simplify right side
    1,137.71x = 694,138.57
  5. Step 5: Solve for x
    x = 694,138.57/1,137.71
  6. Step 6: Final answer
    x = 610.12

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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.