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Finding the Fourth Proportional to 1,829.13, 2,743.01 and 658.82

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Solution

The fourth proportional to 1,829.13, 2,743.01 and 658.82 is: 987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.13 : 2,743.01 = 658.82 : x
  2. Step 2: Convert to fraction form
    1,829.13/2,743.01 = 658.82/x
  3. Step 3: Cross multiply
    1,829.13x = 2,743.01 × 658.82
  4. Step 4: Simplify right side
    1,829.13x = 1,807,137.78
  5. Step 5: Solve for x
    x = 1,807,137.78/1,829.13
  6. Step 6: Final answer
    x = 987.98

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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.