Home / 1,233.11-1,701.83-709.13

Finding the Fourth Proportional to 1,233.11, 1,701.83 and 709.13

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Solution

The fourth proportional to 1,233.11, 1,701.83 and 709.13 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.11 : 1,701.83 = 709.13 : x
  2. Step 2: Convert to fraction form
    1,233.11/1,701.83 = 709.13/x
  3. Step 3: Cross multiply
    1,233.11x = 1,701.83 × 709.13
  4. Step 4: Simplify right side
    1,233.11x = 1,206,811.97
  5. Step 5: Solve for x
    x = 1,206,811.97/1,233.11
  6. Step 6: Final answer
    x = 978.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.