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Finding the Fourth Proportional to 2,287.35, 3,431.02 and 555.97

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Solution

The fourth proportional to 2,287.35, 3,431.02 and 555.97 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.35 : 3,431.02 = 555.97 : x
  2. Step 2: Convert to fraction form
    2,287.35/3,431.02 = 555.97/x
  3. Step 3: Cross multiply
    2,287.35x = 3,431.02 × 555.97
  4. Step 4: Simplify right side
    2,287.35x = 1,907,544.19
  5. Step 5: Solve for x
    x = 1,907,544.19/2,287.35
  6. Step 6: Final answer
    x = 833.96

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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.