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Finding the Fourth Proportional to 1,165.36, 1,608.10 and 661.18

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Solution

The fourth proportional to 1,165.36, 1,608.10 and 661.18 is: 912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.36 : 1,608.10 = 661.18 : x
  2. Step 2: Convert to fraction form
    1,165.36/1,608.10 = 661.18/x
  3. Step 3: Cross multiply
    1,165.36x = 1,608.10 × 661.18
  4. Step 4: Simplify right side
    1,165.36x = 1,063,243.56
  5. Step 5: Solve for x
    x = 1,063,243.56/1,165.36
  6. Step 6: Final answer
    x = 912.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.