Home / 1,205.47-1,812.66-932.23

Finding the Fourth Proportional to 1,205.47, 1,812.66 and 932.23

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Solution

The fourth proportional to 1,205.47, 1,812.66 and 932.23 is: 1,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.47 : 1,812.66 = 932.23 : x
  2. Step 2: Convert to fraction form
    1,205.47/1,812.66 = 932.23/x
  3. Step 3: Cross multiply
    1,205.47x = 1,812.66 × 932.23
  4. Step 4: Simplify right side
    1,205.47x = 1,689,816.03
  5. Step 5: Solve for x
    x = 1,689,816.03/1,205.47
  6. Step 6: Final answer
    x = 1,401.79

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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.