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Finding the Fourth Proportional to 2,272.81, 3,409.59 and 712.51

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Solution

The fourth proportional to 2,272.81, 3,409.59 and 712.51 is: 1,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.81 : 3,409.59 = 712.51 : x
  2. Step 2: Convert to fraction form
    2,272.81/3,409.59 = 712.51/x
  3. Step 3: Cross multiply
    2,272.81x = 3,409.59 × 712.51
  4. Step 4: Simplify right side
    2,272.81x = 2,429,366.97
  5. Step 5: Solve for x
    x = 2,429,366.97/2,272.81
  6. Step 6: Final answer
    x = 1,068.88

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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.