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Finding the Fourth Proportional to 1,001.73, 1,382.97 and 665.66

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Solution

The fourth proportional to 1,001.73, 1,382.97 and 665.66 is: 918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.73 : 1,382.97 = 665.66 : x
  2. Step 2: Convert to fraction form
    1,001.73/1,382.97 = 665.66/x
  3. Step 3: Cross multiply
    1,001.73x = 1,382.97 × 665.66
  4. Step 4: Simplify right side
    1,001.73x = 920,580.90
  5. Step 5: Solve for x
    x = 920,580.90/1,001.73
  6. Step 6: Final answer
    x = 918.99

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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.