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Finding the Fourth Proportional to 1,204.81, 1,804.72 and 1,117.22

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Solution

The fourth proportional to 1,204.81, 1,804.72 and 1,117.22 is: 1,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.81 : 1,804.72 = 1,117.22 : x
  2. Step 2: Convert to fraction form
    1,204.81/1,804.72 = 1,117.22/x
  3. Step 3: Cross multiply
    1,204.81x = 1,804.72 × 1,117.22
  4. Step 4: Simplify right side
    1,204.81x = 2,016,271.00
  5. Step 5: Solve for x
    x = 2,016,271.00/1,204.81
  6. Step 6: Final answer
    x = 1,673.52

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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.