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Finding the Fourth Proportional to 1,804.32, 2,704.81 and 708.69

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Solution

The fourth proportional to 1,804.32, 2,704.81 and 708.69 is: 1,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.32 : 2,704.81 = 708.69 : x
  2. Step 2: Convert to fraction form
    1,804.32/2,704.81 = 708.69/x
  3. Step 3: Cross multiply
    1,804.32x = 2,704.81 × 708.69
  4. Step 4: Simplify right side
    1,804.32x = 1,916,871.80
  5. Step 5: Solve for x
    x = 1,916,871.80/1,804.32
  6. Step 6: Final answer
    x = 1,062.38

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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.