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Finding the Fourth Proportional to 1,189.76, 1,642 and 665.84

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Solution

The fourth proportional to 1,189.76, 1,642 and 665.84 is: 918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.76 : 1,642 = 665.84 : x
  2. Step 2: Convert to fraction form
    1,189.76/1,642 = 665.84/x
  3. Step 3: Cross multiply
    1,189.76x = 1,642 × 665.84
  4. Step 4: Simplify right side
    1,189.76x = 1,093,309.28
  5. Step 5: Solve for x
    x = 1,093,309.28/1,189.76
  6. Step 6: Final answer
    x = 918.93

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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.