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Finding the Fourth Proportional to 1,146.92, 1,582.72 and 622.94

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Solution

The fourth proportional to 1,146.92, 1,582.72 and 622.94 is: 859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.92 : 1,582.72 = 622.94 : x
  2. Step 2: Convert to fraction form
    1,146.92/1,582.72 = 622.94/x
  3. Step 3: Cross multiply
    1,146.92x = 1,582.72 × 622.94
  4. Step 4: Simplify right side
    1,146.92x = 985,930.13
  5. Step 5: Solve for x
    x = 985,930.13/1,146.92
  6. Step 6: Final answer
    x = 859.64

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