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Finding the Fourth Proportional to 1,222.86, 1,686.60 and 829.20

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Solution

The fourth proportional to 1,222.86, 1,686.60 and 829.20 is: 1,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.86 : 1,686.60 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,222.86/1,686.60 = 829.20/x
  3. Step 3: Cross multiply
    1,222.86x = 1,686.60 × 829.20
  4. Step 4: Simplify right side
    1,222.86x = 1,398,528.72
  5. Step 5: Solve for x
    x = 1,398,528.72/1,222.86
  6. Step 6: Final answer
    x = 1,143.65

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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.