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Finding the Fourth Proportional to 1,192.55, 1,645.67 and 674.53

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Solution

The fourth proportional to 1,192.55, 1,645.67 and 674.53 is: 930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.55 : 1,645.67 = 674.53 : x
  2. Step 2: Convert to fraction form
    1,192.55/1,645.67 = 674.53/x
  3. Step 3: Cross multiply
    1,192.55x = 1,645.67 × 674.53
  4. Step 4: Simplify right side
    1,192.55x = 1,110,051.36
  5. Step 5: Solve for x
    x = 1,110,051.36/1,192.55
  6. Step 6: Final answer
    x = 930.83

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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.