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Finding the Fourth Proportional to 1,137.08, 1,705.55 and 668.81

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Solution

The fourth proportional to 1,137.08, 1,705.55 and 668.81 is: 1,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.08 : 1,705.55 = 668.81 : x
  2. Step 2: Convert to fraction form
    1,137.08/1,705.55 = 668.81/x
  3. Step 3: Cross multiply
    1,137.08x = 1,705.55 × 668.81
  4. Step 4: Simplify right side
    1,137.08x = 1,140,691.70
  5. Step 5: Solve for x
    x = 1,140,691.70/1,137.08
  6. Step 6: Final answer
    x = 1,003.18

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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.