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Finding the Fourth Proportional to 1,189.62, 1,641.68 and 665.66

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Solution

The fourth proportional to 1,189.62, 1,641.68 and 665.66 is: 918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.62 : 1,641.68 = 665.66 : x
  2. Step 2: Convert to fraction form
    1,189.62/1,641.68 = 665.66/x
  3. Step 3: Cross multiply
    1,189.62x = 1,641.68 × 665.66
  4. Step 4: Simplify right side
    1,189.62x = 1,092,800.71
  5. Step 5: Solve for x
    x = 1,092,800.71/1,189.62
  6. Step 6: Final answer
    x = 918.61

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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.