Home / 1,222.61-1,834.82-702.86

Finding the Fourth Proportional to 1,222.61, 1,834.82 and 702.86

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Solution

The fourth proportional to 1,222.61, 1,834.82 and 702.86 is: 1,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.61 : 1,834.82 = 702.86 : x
  2. Step 2: Convert to fraction form
    1,222.61/1,834.82 = 702.86/x
  3. Step 3: Cross multiply
    1,222.61x = 1,834.82 × 702.86
  4. Step 4: Simplify right side
    1,222.61x = 1,289,618.07
  5. Step 5: Solve for x
    x = 1,289,618.07/1,222.61
  6. Step 6: Final answer
    x = 1,054.81

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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.