Home / 1,222.23-1,831.89-702.60

Finding the Fourth Proportional to 1,222.23, 1,831.89 and 702.60

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Solution

The fourth proportional to 1,222.23, 1,831.89 and 702.60 is: 1,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.23 : 1,831.89 = 702.60 : x
  2. Step 2: Convert to fraction form
    1,222.23/1,831.89 = 702.60/x
  3. Step 3: Cross multiply
    1,222.23x = 1,831.89 × 702.60
  4. Step 4: Simplify right side
    1,222.23x = 1,287,081.68
  5. Step 5: Solve for x
    x = 1,287,081.68/1,222.23
  6. Step 6: Final answer
    x = 1,053.06

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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.