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Finding the Fourth Proportional to 1,083.47, 1,623.94 and 693.68

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Solution

The fourth proportional to 1,083.47, 1,623.94 and 693.68 is: 1,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.47 : 1,623.94 = 693.68 : x
  2. Step 2: Convert to fraction form
    1,083.47/1,623.94 = 693.68/x
  3. Step 3: Cross multiply
    1,083.47x = 1,623.94 × 693.68
  4. Step 4: Simplify right side
    1,083.47x = 1,126,484.85
  5. Step 5: Solve for x
    x = 1,126,484.85/1,083.47
  6. Step 6: Final answer
    x = 1,039.71

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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.