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Finding the Fourth Proportional to 1,001.77, 1,382.06 and 628.59

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Solution

The fourth proportional to 1,001.77, 1,382.06 and 628.59 is: 867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.77 : 1,382.06 = 628.59 : x
  2. Step 2: Convert to fraction form
    1,001.77/1,382.06 = 628.59/x
  3. Step 3: Cross multiply
    1,001.77x = 1,382.06 × 628.59
  4. Step 4: Simplify right side
    1,001.77x = 868,749.10
  5. Step 5: Solve for x
    x = 868,749.10/1,001.77
  6. Step 6: Final answer
    x = 867.21

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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.