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Finding the Fourth Proportional to 1,163.28, 1,605.33 and 665.92

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Solution

The fourth proportional to 1,163.28, 1,605.33 and 665.92 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.28 : 1,605.33 = 665.92 : x
  2. Step 2: Convert to fraction form
    1,163.28/1,605.33 = 665.92/x
  3. Step 3: Cross multiply
    1,163.28x = 1,605.33 × 665.92
  4. Step 4: Simplify right side
    1,163.28x = 1,069,021.35
  5. Step 5: Solve for x
    x = 1,069,021.35/1,163.28
  6. Step 6: Final answer
    x = 918.97

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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.