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Finding the Fourth Proportional to 1,172.05, 1,614.93 and 961.51

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Solution

The fourth proportional to 1,172.05, 1,614.93 and 961.51 is: 1,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.05 : 1,614.93 = 961.51 : x
  2. Step 2: Convert to fraction form
    1,172.05/1,614.93 = 961.51/x
  3. Step 3: Cross multiply
    1,172.05x = 1,614.93 × 961.51
  4. Step 4: Simplify right side
    1,172.05x = 1,552,771.34
  5. Step 5: Solve for x
    x = 1,552,771.34/1,172.05
  6. Step 6: Final answer
    x = 1,324.83

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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.