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Finding the Fourth Proportional to 1,175.92, 1,622.73 and 678.49

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Solution

The fourth proportional to 1,175.92, 1,622.73 and 678.49 is: 936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.92 : 1,622.73 = 678.49 : x
  2. Step 2: Convert to fraction form
    1,175.92/1,622.73 = 678.49/x
  3. Step 3: Cross multiply
    1,175.92x = 1,622.73 × 678.49
  4. Step 4: Simplify right side
    1,175.92x = 1,101,006.08
  5. Step 5: Solve for x
    x = 1,101,006.08/1,175.92
  6. Step 6: Final answer
    x = 936.29

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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.