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Finding the Fourth Proportional to 1,105.09, 1,657.63 and 694.51

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Solution

The fourth proportional to 1,105.09, 1,657.63 and 694.51 is: 1,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.09 : 1,657.63 = 694.51 : x
  2. Step 2: Convert to fraction form
    1,105.09/1,657.63 = 694.51/x
  3. Step 3: Cross multiply
    1,105.09x = 1,657.63 × 694.51
  4. Step 4: Simplify right side
    1,105.09x = 1,151,241.40
  5. Step 5: Solve for x
    x = 1,151,241.40/1,105.09
  6. Step 6: Final answer
    x = 1,041.76

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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.