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Finding the Fourth Proportional to 1,221.96, 1,686.18 and 829.50

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Solution

The fourth proportional to 1,221.96, 1,686.18 and 829.50 is: 1,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.96 : 1,686.18 = 829.50 : x
  2. Step 2: Convert to fraction form
    1,221.96/1,686.18 = 829.50/x
  3. Step 3: Cross multiply
    1,221.96x = 1,686.18 × 829.50
  4. Step 4: Simplify right side
    1,221.96x = 1,398,686.31
  5. Step 5: Solve for x
    x = 1,398,686.31/1,221.96
  6. Step 6: Final answer
    x = 1,144.63

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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.