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Finding the Fourth Proportional to 1,204.27, 1,804.52 and 717.06

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Solution

The fourth proportional to 1,204.27, 1,804.52 and 717.06 is: 1,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.27 : 1,804.52 = 717.06 : x
  2. Step 2: Convert to fraction form
    1,204.27/1,804.52 = 717.06/x
  3. Step 3: Cross multiply
    1,204.27x = 1,804.52 × 717.06
  4. Step 4: Simplify right side
    1,204.27x = 1,293,936.50
  5. Step 5: Solve for x
    x = 1,293,936.50/1,204.27
  6. Step 6: Final answer
    x = 1,074.46

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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.