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Finding the Fourth Proportional to 1,233.07, 1,700.80 and 1,139.65

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Solution

The fourth proportional to 1,233.07, 1,700.80 and 1,139.65 is: 1,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.07 : 1,700.80 = 1,139.65 : x
  2. Step 2: Convert to fraction form
    1,233.07/1,700.80 = 1,139.65/x
  3. Step 3: Cross multiply
    1,233.07x = 1,700.80 × 1,139.65
  4. Step 4: Simplify right side
    1,233.07x = 1,938,309.62
  5. Step 5: Solve for x
    x = 1,938,309.62/1,233.07
  6. Step 6: Final answer
    x = 1,571.94

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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.